What is the Greatest Common Factor of 75936 and 75948?

Greatest common factor (GCF) of 75936 and 75948 is 12.

GCF(75936,75948) = 12

We will now calculate the prime factors of 75936 and 75948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75936 and 75948.

How to find the GCF of 75936 and 75948?

We will first find the prime factorization of 75936 and 75948. After we will calculate the factors of 75936 and 75948 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75948

Prime factors of 75948 are 2, 3, 6329. Prime factorization of 75948 in exponential form is:

75948 = 2² × 3¹ × 6329¹

Step-3: Factors of 75936

List of positive integer factors of 75936 that divides 75936 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

Step-4: Factors of 75948

List of positive integer factors of 75948 that divides 75936 without a remainder.

1, 2, 3, 4, 6, 12, 6329, 12658, 18987, 25316, 37974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75936 and 75948. The biggest common factor number is the GCF number.
So the greatest common factor 75936 and 75948 is 12.

Also check out the Least Common Multiple of 75936 and 75948