What is the Greatest Common Factor of 75918 and 75936?

Greatest common factor (GCF) of 75918 and 75936 is 6.

GCF(75918,75936) = 6

We will now calculate the prime factors of 75918 and 75936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75918 and 75936.

How to find the GCF of 75918 and 75936?

We will first find the prime factorization of 75918 and 75936. After we will calculate the factors of 75918 and 75936 and find the biggest common factor number .

Step-1: Prime Factorization of 75918

Prime factors of 75918 are 2, 3, 12653. Prime factorization of 75918 in exponential form is:

75918 = 2¹ × 3¹ × 12653¹

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 75918

List of positive integer factors of 75918 that divides 75918 without a remainder.

1, 2, 3, 6, 12653, 25306, 37959

Step-4: Factors of 75936

List of positive integer factors of 75936 that divides 75918 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 75918 and 75936. The biggest common factor number is the GCF number.
So the greatest common factor 75918 and 75936 is 6.

Also check out the Least Common Multiple of 75918 and 75936