What is the Greatest Common Factor of 86944 and 86955?

Greatest common factor (GCF) of 86944 and 86955 is 11.

GCF(86944,86955) = 11

We will now calculate the prime factors of 86944 and 86955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86944 and 86955.

How to find the GCF of 86944 and 86955?

We will first find the prime factorization of 86944 and 86955. After we will calculate the factors of 86944 and 86955 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 86955

Prime factors of 86955 are 3, 5, 11, 17, 31. Prime factorization of 86955 in exponential form is:

86955 = 3¹ × 5¹ × 11¹ × 17¹ × 31¹

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 86955

List of positive integer factors of 86955 that divides 86944 without a remainder.

1, 3, 5, 11, 15, 17, 31, 33, 51, 55, 85, 93, 155, 165, 187, 255, 341, 465, 527, 561, 935, 1023, 1581, 1705, 2635, 2805, 5115, 5797, 7905, 17391, 28985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86944 and 86955. The biggest common factor number is the GCF number.
So the greatest common factor 86944 and 86955 is 11.

Also check out the Least Common Multiple of 86944 and 86955