What is the Greatest Common Factor of 57936 and 57951?

Greatest common factor (GCF) of 57936 and 57951 is 3.

GCF(57936,57951) = 3

We will now calculate the prime factors of 57936 and 57951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57936 and 57951.

How to find the GCF of 57936 and 57951?

We will first find the prime factorization of 57936 and 57951. After we will calculate the factors of 57936 and 57951 and find the biggest common factor number .

Step-1: Prime Factorization of 57936

Prime factors of 57936 are 2, 3, 17, 71. Prime factorization of 57936 in exponential form is:

57936 = 2⁴ × 3¹ × 17¹ × 71¹

Step-2: Prime Factorization of 57951

Prime factors of 57951 are 3, 47, 137. Prime factorization of 57951 in exponential form is:

57951 = 3² × 47¹ × 137¹

Step-3: Factors of 57936

List of positive integer factors of 57936 that divides 57936 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 71, 102, 136, 142, 204, 213, 272, 284, 408, 426, 568, 816, 852, 1136, 1207, 1704, 2414, 3408, 3621, 4828, 7242, 9656, 14484, 19312, 28968

Step-4: Factors of 57951

List of positive integer factors of 57951 that divides 57936 without a remainder.

1, 3, 9, 47, 137, 141, 411, 423, 1233, 6439, 19317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57936 and 57951. The biggest common factor number is the GCF number.
So the greatest common factor 57936 and 57951 is 3.

Also check out the Least Common Multiple of 57936 and 57951