What is the Greatest Common Factor of 87936 and 87952?

Greatest common factor (GCF) of 87936 and 87952 is 16.

GCF(87936,87952) = 16

We will now calculate the prime factors of 87936 and 87952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87936 and 87952.

How to find the GCF of 87936 and 87952?

We will first find the prime factorization of 87936 and 87952. After we will calculate the factors of 87936 and 87952 and find the biggest common factor number .

Step-1: Prime Factorization of 87936

Prime factors of 87936 are 2, 3, 229. Prime factorization of 87936 in exponential form is:

87936 = 2⁷ × 3¹ × 229¹

Step-2: Prime Factorization of 87952

Prime factors of 87952 are 2, 23, 239. Prime factorization of 87952 in exponential form is:

87952 = 2⁴ × 23¹ × 239¹

Step-3: Factors of 87936

List of positive integer factors of 87936 that divides 87936 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 229, 384, 458, 687, 916, 1374, 1832, 2748, 3664, 5496, 7328, 10992, 14656, 21984, 29312, 43968

Step-4: Factors of 87952

List of positive integer factors of 87952 that divides 87936 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 239, 368, 478, 956, 1912, 3824, 5497, 10994, 21988, 43976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87936 and 87952. The biggest common factor number is the GCF number.
So the greatest common factor 87936 and 87952 is 16.

Also check out the Least Common Multiple of 87936 and 87952