What is the Greatest Common Factor of 86924 and 86944?

Greatest common factor (GCF) of 86924 and 86944 is 4.

GCF(86924,86944) = 4

We will now calculate the prime factors of 86924 and 86944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86924 and 86944.

How to find the GCF of 86924 and 86944?

We will first find the prime factorization of 86924 and 86944. After we will calculate the factors of 86924 and 86944 and find the biggest common factor number .

Step-1: Prime Factorization of 86924

Prime factors of 86924 are 2, 31, 701. Prime factorization of 86924 in exponential form is:

86924 = 2² × 31¹ × 701¹

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 86924

List of positive integer factors of 86924 that divides 86924 without a remainder.

1, 2, 4, 31, 62, 124, 701, 1402, 2804, 21731, 43462

Step-4: Factors of 86944

List of positive integer factors of 86944 that divides 86924 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 86924 and 86944. The biggest common factor number is the GCF number.
So the greatest common factor 86924 and 86944 is 4.

Also check out the Least Common Multiple of 86924 and 86944