What is the Greatest Common Factor of 62928 and 62947?

Greatest common factor (GCF) of 62928 and 62947 is 19.

GCF(62928,62947) = 19

We will now calculate the prime factors of 62928 and 62947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62928 and 62947.

How to find the GCF of 62928 and 62947?

We will first find the prime factorization of 62928 and 62947. After we will calculate the factors of 62928 and 62947 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62947

Prime factors of 62947 are 19, 3313. Prime factorization of 62947 in exponential form is:

62947 = 19¹ × 3313¹

Step-3: Factors of 62928

List of positive integer factors of 62928 that divides 62928 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

Step-4: Factors of 62947

List of positive integer factors of 62947 that divides 62928 without a remainder.

1, 19, 3313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62928 and 62947. The biggest common factor number is the GCF number.
So the greatest common factor 62928 and 62947 is 19.

Also check out the Least Common Multiple of 62928 and 62947