What is the Greatest Common Factor of 75928 and 75936?

Greatest common factor (GCF) of 75928 and 75936 is 8.

GCF(75928,75936) = 8

We will now calculate the prime factors of 75928 and 75936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75928 and 75936.

How to find the GCF of 75928 and 75936?

We will first find the prime factorization of 75928 and 75936. After we will calculate the factors of 75928 and 75936 and find the biggest common factor number .

Step-1: Prime Factorization of 75928

Prime factors of 75928 are 2, 9491. Prime factorization of 75928 in exponential form is:

75928 = 2³ × 9491¹

Step-2: Prime Factorization of 75936

Prime factors of 75936 are 2, 3, 7, 113. Prime factorization of 75936 in exponential form is:

75936 = 2⁵ × 3¹ × 7¹ × 113¹

Step-3: Factors of 75928

List of positive integer factors of 75928 that divides 75928 without a remainder.

1, 2, 4, 8, 9491, 18982, 37964

Step-4: Factors of 75936

List of positive integer factors of 75936 that divides 75928 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 113, 168, 224, 226, 336, 339, 452, 672, 678, 791, 904, 1356, 1582, 1808, 2373, 2712, 3164, 3616, 4746, 5424, 6328, 9492, 10848, 12656, 18984, 25312, 37968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75928 and 75936. The biggest common factor number is the GCF number.
So the greatest common factor 75928 and 75936 is 8.

Also check out the Least Common Multiple of 75928 and 75936