What is the Greatest Common Factor of 88944 and 88952?

Greatest common factor (GCF) of 88944 and 88952 is 8.

GCF(88944,88952) = 8

We will now calculate the prime factors of 88944 and 88952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88944 and 88952.

How to find the GCF of 88944 and 88952?

We will first find the prime factorization of 88944 and 88952. After we will calculate the factors of 88944 and 88952 and find the biggest common factor number .

Step-1: Prime Factorization of 88944

Prime factors of 88944 are 2, 3, 17, 109. Prime factorization of 88944 in exponential form is:

88944 = 2⁴ × 3¹ × 17¹ × 109¹

Step-2: Prime Factorization of 88952

Prime factors of 88952 are 2, 11119. Prime factorization of 88952 in exponential form is:

88952 = 2³ × 11119¹

Step-3: Factors of 88944

List of positive integer factors of 88944 that divides 88944 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 109, 136, 204, 218, 272, 327, 408, 436, 654, 816, 872, 1308, 1744, 1853, 2616, 3706, 5232, 5559, 7412, 11118, 14824, 22236, 29648, 44472

Step-4: Factors of 88952

List of positive integer factors of 88952 that divides 88944 without a remainder.

1, 2, 4, 8, 11119, 22238, 44476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88944 and 88952. The biggest common factor number is the GCF number.
So the greatest common factor 88944 and 88952 is 8.

Also check out the Least Common Multiple of 88944 and 88952