What is the Greatest Common Factor of 62913 and 62928?

Greatest common factor (GCF) of 62913 and 62928 is 3.

GCF(62913,62928) = 3

We will now calculate the prime factors of 62913 and 62928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62913 and 62928.

How to find the GCF of 62913 and 62928?

We will first find the prime factorization of 62913 and 62928. After we will calculate the factors of 62913 and 62928 and find the biggest common factor number .

Step-1: Prime Factorization of 62913

Prime factors of 62913 are 3, 67, 313. Prime factorization of 62913 in exponential form is:

62913 = 3¹ × 67¹ × 313¹

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 62913

List of positive integer factors of 62913 that divides 62913 without a remainder.

1, 3, 67, 201, 313, 939, 20971

Step-4: Factors of 62928

List of positive integer factors of 62928 that divides 62913 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 62913 and 62928. The biggest common factor number is the GCF number.
So the greatest common factor 62913 and 62928 is 3.

Also check out the Least Common Multiple of 62913 and 62928