What is the Greatest Common Factor of 86938 and 86944?

Greatest common factor (GCF) of 86938 and 86944 is 2.

GCF(86938,86944) = 2

We will now calculate the prime factors of 86938 and 86944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86938 and 86944.

How to find the GCF of 86938 and 86944?

We will first find the prime factorization of 86938 and 86944. After we will calculate the factors of 86938 and 86944 and find the biggest common factor number .

Step-1: Prime Factorization of 86938

Prime factors of 86938 are 2, 17, 2557. Prime factorization of 86938 in exponential form is:

86938 = 2¹ × 17¹ × 2557¹

Step-2: 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-3: Factors of 86938

List of positive integer factors of 86938 that divides 86938 without a remainder.

1, 2, 17, 34, 2557, 5114, 43469

Step-4: Factors of 86944

List of positive integer factors of 86944 that divides 86938 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86938 and 86944. The biggest common factor number is the GCF number.
So the greatest common factor 86938 and 86944 is 2.

Also check out the Least Common Multiple of 86938 and 86944