What is the Greatest Common Factor of 93952 and 93972?

Greatest common factor (GCF) of 93952 and 93972 is 4.

GCF(93952,93972) = 4

We will now calculate the prime factors of 93952 and 93972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93952 and 93972.

How to find the GCF of 93952 and 93972?

We will first find the prime factorization of 93952 and 93972. After we will calculate the factors of 93952 and 93972 and find the biggest common factor number .

Step-1: Prime Factorization of 93952

Prime factors of 93952 are 2, 367. Prime factorization of 93952 in exponential form is:

93952 = 2⁸ × 367¹

Step-2: Prime Factorization of 93972

Prime factors of 93972 are 2, 3, 41, 191. Prime factorization of 93972 in exponential form is:

93972 = 2² × 3¹ × 41¹ × 191¹

Step-3: Factors of 93952

List of positive integer factors of 93952 that divides 93952 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 367, 734, 1468, 2936, 5872, 11744, 23488, 46976

Step-4: Factors of 93972

List of positive integer factors of 93972 that divides 93952 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 191, 246, 382, 492, 573, 764, 1146, 2292, 7831, 15662, 23493, 31324, 46986

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93952 and 93972. The biggest common factor number is the GCF number.
So the greatest common factor 93952 and 93972 is 4.

Also check out the Least Common Multiple of 93952 and 93972