What is the Greatest Common Factor of 86944 and 86960?

Greatest common factor (GCF) of 86944 and 86960 is 16.

GCF(86944,86960) = 16

We will now calculate the prime factors of 86944 and 86960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86944 and 86960.

How to find the GCF of 86944 and 86960?

We will first find the prime factorization of 86944 and 86960. After we will calculate the factors of 86944 and 86960 and find the biggest common factor number .

Step-1: Prime Factorization of 86944

Prime factors of 86944 are 2, 11, 13, 19. Prime factorization of 86944 in exponential form is:

86944 = 2⁵ × 11¹ × 13¹ × 19¹

Step-2: Prime Factorization of 86960

Prime factors of 86960 are 2, 5, 1087. Prime factorization of 86960 in exponential form is:

86960 = 2⁴ × 5¹ × 1087¹

Step-3: Factors of 86944

List of positive integer factors of 86944 that divides 86944 without a remainder.

1, 2, 4, 8, 11, 13, 16, 19, 22, 26, 32, 38, 44, 52, 76, 88, 104, 143, 152, 176, 208, 209, 247, 286, 304, 352, 416, 418, 494, 572, 608, 836, 988, 1144, 1672, 1976, 2288, 2717, 3344, 3952, 4576, 5434, 6688, 7904, 10868, 21736, 43472

Step-4: Factors of 86960

List of positive integer factors of 86960 that divides 86944 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1087, 2174, 4348, 5435, 8696, 10870, 17392, 21740, 43480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86944 and 86960. The biggest common factor number is the GCF number.
So the greatest common factor 86944 and 86960 is 16.

Also check out the Least Common Multiple of 86944 and 86960