What is the Greatest Common Factor of 88944 and 88960?

Greatest common factor (GCF) of 88944 and 88960 is 16.

GCF(88944,88960) = 16

We will now calculate the prime factors of 88944 and 88960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88944 and 88960.

How to find the GCF of 88944 and 88960?

We will first find the prime factorization of 88944 and 88960. After we will calculate the factors of 88944 and 88960 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 88960

Prime factors of 88960 are 2, 5, 139. Prime factorization of 88960 in exponential form is:

88960 = 2⁷ × 5¹ × 139¹

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 88960

List of positive integer factors of 88960 that divides 88944 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 139, 160, 278, 320, 556, 640, 695, 1112, 1390, 2224, 2780, 4448, 5560, 8896, 11120, 17792, 22240, 44480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88944 and 88960. The biggest common factor number is the GCF number.
So the greatest common factor 88944 and 88960 is 16.

Also check out the Least Common Multiple of 88944 and 88960