What is the Greatest Common Factor of 75924 and 75936?

Greatest common factor (GCF) of 75924 and 75936 is 12.

GCF(75924,75936) = 12

We will now calculate the prime factors of 75924 and 75936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75924 and 75936.

How to find the GCF of 75924 and 75936?

We will first find the prime factorization of 75924 and 75936. After we will calculate the factors of 75924 and 75936 and find the biggest common factor number .

Step-1: Prime Factorization of 75924

Prime factors of 75924 are 2, 3, 19, 37. Prime factorization of 75924 in exponential form is:

75924 = 2² × 3³ × 19¹ × 37¹

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 75924

List of positive integer factors of 75924 that divides 75924 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 37, 38, 54, 57, 74, 76, 108, 111, 114, 148, 171, 222, 228, 333, 342, 444, 513, 666, 684, 703, 999, 1026, 1332, 1406, 1998, 2052, 2109, 2812, 3996, 4218, 6327, 8436, 12654, 18981, 25308, 37962

Step-4: Factors of 75936

List of positive integer factors of 75936 that divides 75924 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 75924 and 75936. The biggest common factor number is the GCF number.
So the greatest common factor 75924 and 75936 is 12.

Also check out the Least Common Multiple of 75924 and 75936