What is the Greatest Common Factor of 64928 and 64944?

Greatest common factor (GCF) of 64928 and 64944 is 16.

GCF(64928,64944) = 16

We will now calculate the prime factors of 64928 and 64944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64928 and 64944.

How to find the GCF of 64928 and 64944?

We will first find the prime factorization of 64928 and 64944. After we will calculate the factors of 64928 and 64944 and find the biggest common factor number .

Step-1: Prime Factorization of 64928

Prime factors of 64928 are 2, 2029. Prime factorization of 64928 in exponential form is:

64928 = 2⁵ × 2029¹

Step-2: Prime Factorization of 64944

Prime factors of 64944 are 2, 3, 11, 41. Prime factorization of 64944 in exponential form is:

64944 = 2⁴ × 3² × 11¹ × 41¹

Step-3: Factors of 64928

List of positive integer factors of 64928 that divides 64928 without a remainder.

1, 2, 4, 8, 16, 32, 2029, 4058, 8116, 16232, 32464

Step-4: Factors of 64944

List of positive integer factors of 64944 that divides 64928 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 41, 44, 48, 66, 72, 82, 88, 99, 123, 132, 144, 164, 176, 198, 246, 264, 328, 369, 396, 451, 492, 528, 656, 738, 792, 902, 984, 1353, 1476, 1584, 1804, 1968, 2706, 2952, 3608, 4059, 5412, 5904, 7216, 8118, 10824, 16236, 21648, 32472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64928 and 64944. The biggest common factor number is the GCF number.
So the greatest common factor 64928 and 64944 is 16.

Also check out the Least Common Multiple of 64928 and 64944