What is the Greatest Common Factor of 59912 and 59928?

Greatest common factor (GCF) of 59912 and 59928 is 8.

GCF(59912,59928) = 8

We will now calculate the prime factors of 59912 and 59928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59912 and 59928.

How to find the GCF of 59912 and 59928?

We will first find the prime factorization of 59912 and 59928. After we will calculate the factors of 59912 and 59928 and find the biggest common factor number .

Step-1: Prime Factorization of 59912

Prime factors of 59912 are 2, 7489. Prime factorization of 59912 in exponential form is:

59912 = 2³ × 7489¹

Step-2: Prime Factorization of 59928

Prime factors of 59928 are 2, 3, 11, 227. Prime factorization of 59928 in exponential form is:

59928 = 2³ × 3¹ × 11¹ × 227¹

Step-3: Factors of 59912

List of positive integer factors of 59912 that divides 59912 without a remainder.

1, 2, 4, 8, 7489, 14978, 29956

Step-4: Factors of 59928

List of positive integer factors of 59928 that divides 59912 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 227, 264, 454, 681, 908, 1362, 1816, 2497, 2724, 4994, 5448, 7491, 9988, 14982, 19976, 29964

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59912 and 59928. The biggest common factor number is the GCF number.
So the greatest common factor 59912 and 59928 is 8.

Also check out the Least Common Multiple of 59912 and 59928