What is the Greatest Common Factor of 62912 and 62928?

Greatest common factor (GCF) of 62912 and 62928 is 16.

GCF(62912,62928) = 16

We will now calculate the prime factors of 62912 and 62928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62912 and 62928.

How to find the GCF of 62912 and 62928?

We will first find the prime factorization of 62912 and 62928. After we will calculate the factors of 62912 and 62928 and find the biggest common factor number .

Step-1: Prime Factorization of 62912

Prime factors of 62912 are 2, 983. Prime factorization of 62912 in exponential form is:

62912 = 2⁶ × 983¹

Step-2: Prime Factorization of 62928

Prime factors of 62928 are 2, 3, 19, 23. Prime factorization of 62928 in exponential form is:

62928 = 2⁴ × 3² × 19¹ × 23¹

Step-3: Factors of 62912

List of positive integer factors of 62912 that divides 62912 without a remainder.

1, 2, 4, 8, 16, 32, 64, 983, 1966, 3932, 7864, 15728, 31456

Step-4: Factors of 62928

List of positive integer factors of 62928 that divides 62912 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 23, 24, 36, 38, 46, 48, 57, 69, 72, 76, 92, 114, 138, 144, 152, 171, 184, 207, 228, 276, 304, 342, 368, 414, 437, 456, 552, 684, 828, 874, 912, 1104, 1311, 1368, 1656, 1748, 2622, 2736, 3312, 3496, 3933, 5244, 6992, 7866, 10488, 15732, 20976, 31464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62912 and 62928. The biggest common factor number is the GCF number.
So the greatest common factor 62912 and 62928 is 16.

Also check out the Least Common Multiple of 62912 and 62928