What is the Greatest Common Factor of 75936 and 75940?

Greatest common factor (GCF) of 75936 and 75940 is 4.

GCF(75936,75940) = 4

We will now calculate the prime factors of 75936 and 75940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75936 and 75940.

How to find the GCF of 75936 and 75940?

We will first find the prime factorization of 75936 and 75940. After we will calculate the factors of 75936 and 75940 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 75940

Prime factors of 75940 are 2, 5, 3797. Prime factorization of 75940 in exponential form is:

75940 = 2² × 5¹ × 3797¹

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 75940

List of positive integer factors of 75940 that divides 75936 without a remainder.

1, 2, 4, 5, 10, 20, 3797, 7594, 15188, 18985, 37970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75936 and 75940. The biggest common factor number is the GCF number.
So the greatest common factor 75936 and 75940 is 4.

Also check out the Least Common Multiple of 75936 and 75940