Find the greatest common factor of the three numbers shown:"> 56, 42, 9877, 33, 22* 80, 16, 96* 65, 39, 13* 14, 49, 748, 64, 3216, 72, 8099, 11, 88* 4, 37, 517,28,988, 57, 341248, 87, 624, 90, 7864, 48, 1677, 49, 56*22, 77, 66
Answer (1)
Answer:To find the greatest common factor (GCF) of the given sets of numbers, you need to determine the highest number that divides each of the numbers in the set without leaving a remainder. Here's the process to find the GCF for each set:1. **56, 42, 98** - Prime factorization: - 56 = 2^3 × 7 - 42 = 2 × 3 × 7 - 98 = 2 × 7^2 - Common factors: 2 and 7 - GCF = 2 × 7 = 142. **77, 33, 22** - Prime factorization: - 77 = 7 × 11 - 33 = 3 × 11 - 22 = 2 × 11 - Common factor: 11 - GCF = 113. **80, 16, 96** - Prime factorization: - 80 = 2^4 × 5 - 16 = 2^4 - 96 = 2^5 × 3 - Common factor: 2^4 - GCF = 164. **65, 39, 13** - Prime factorization: - 65 = 5 × 13 - 39 = 3 × 13 - 13 = 13 - Common factor: 13 - GCF = 135. **14, 49, 7** - Prime factorization: - 14 = 2 × 7 - 49 = 7^2 - 7 = 7 - Common factor: 7 - GCF = 76. **48, 64, 32** - Prime factorization: - 48 = 2^4 × 3 - 64 = 2^6 - 32 = 2^5 - Common factor: 2^4 - GCF = 167. **16, 72, 80** - Prime factorization: - 16 = 2^4 - 72 = 2^3 × 3^2 - 80 = 2^4 × 5 - Common factor: 2^3 - GCF = 88. **99, 11, 88** - Prime factorization: - 99 = 3^2 × 11 - 11 = 11 - 88 = 2^3 × 11 - Common factor: 11 - GCF = 119. **4, 37, 51** - Prime factorization: - 4 = 2^2 - 37 = 37 - 51 = 3 × 17 - Common factor: No common factor - GCF = 110. **7, 28, 98** - Prime factorization: - 7 = 7 - 28 = 2^2 × 7 - 98 = 2 × 7^2 - Common factor: 7 - GCF = 711. **8, 57, 34** - Prime factorization: - 8 = 2^3 - 57 = 3 × 19 - 34 = 2 × 17 - Common factor: 2 - GCF = 212. **1248, 87, 6** - Prime factorization: - 1248 = 2^4 × 3 × 13 - 87 = 3 × 29 - 6 = 2 × 3 - Common factor: 3 - GCF = 313. **24, 90, 78** - Prime factorization: - 24 = 2^3 × 3 - 90 = 2 × 3^2 × 5 - 78 = 2 × 3 × 13 - Common factor: 2 × 3 - GCF = 614. **64, 48, 16** - Prime factorization: - 64 = 2^6 - 48 = 2^4 × 3 - 16 = 2^4 - Common factor: 2^4 - GCF = 1615. **77, 49, 56** - Prime factorization: - 77 = 7 × 11 - 49 = 7^2 - 56 = 2^3 × 7 - Common factor: 7 - GCF = 716. **22, 77, 66** - Prime factorization: - 22 = 2 × 11 - 77 = 7 × 11 - 66 = 2 × 3 × 11 - Common factor: 11 - GCF = 11Based on the above, here are the GCFs for each set:1. **56, 42, 98** - 142. **77, 33, 22** - 113. **80, 16, 96** - 164. **65, 39, 13** - 135. **14, 49, 7** - 76. **48, 64, 32** - 167. **16, 72, 80** - 88. **99, 11, 88** - 119. **4, 37, 51** - 110. **7, 28, 98** - 711. **8, 57, 34** - 212. **1248, 87, 6** - 313. **24, 90, 78** - 614. **64, 48, 16** - 1615. **77, 49, 56** - 716. **22, 77, 66** - 11Step-by-step explanation:
