What is the Greatest Common Factor of 95928 and 95936?

Greatest common factor (GCF) of 95928 and 95936 is 8.

GCF(95928,95936) = 8

We will now calculate the prime factors of 95928 and 95936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95928 and 95936.

How to find the GCF of 95928 and 95936?

We will first find the prime factorization of 95928 and 95936. After we will calculate the factors of 95928 and 95936 and find the biggest common factor number .

Step-1: Prime Factorization of 95928

Prime factors of 95928 are 2, 3, 7, 571. Prime factorization of 95928 in exponential form is:

95928 = 2³ × 3¹ × 7¹ × 571¹

Step-2: Prime Factorization of 95936

Prime factors of 95936 are 2, 1499. Prime factorization of 95936 in exponential form is:

95936 = 2⁶ × 1499¹

Step-3: Factors of 95928

List of positive integer factors of 95928 that divides 95928 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 571, 1142, 1713, 2284, 3426, 3997, 4568, 6852, 7994, 11991, 13704, 15988, 23982, 31976, 47964

Step-4: Factors of 95936

List of positive integer factors of 95936 that divides 95928 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1499, 2998, 5996, 11992, 23984, 47968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95928 and 95936. The biggest common factor number is the GCF number.
So the greatest common factor 95928 and 95936 is 8.

Also check out the Least Common Multiple of 95928 and 95936