What is the Greatest Common Factor of 57919 and 57936?

Greatest common factor (GCF) of 57919 and 57936 is 17.

GCF(57919,57936) = 17

We will now calculate the prime factors of 57919 and 57936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57919 and 57936.

How to find the GCF of 57919 and 57936?

We will first find the prime factorization of 57919 and 57936. After we will calculate the factors of 57919 and 57936 and find the biggest common factor number .

Step-1: Prime Factorization of 57919

Prime factors of 57919 are 17, 3407. Prime factorization of 57919 in exponential form is:

57919 = 17¹ × 3407¹

Step-2: 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-3: Factors of 57919

List of positive integer factors of 57919 that divides 57919 without a remainder.

1, 17, 3407

Step-4: Factors of 57936

List of positive integer factors of 57936 that divides 57919 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57919 and 57936. The biggest common factor number is the GCF number.
So the greatest common factor 57919 and 57936 is 17.

Also check out the Least Common Multiple of 57919 and 57936