What is the Greatest Common Factor of 62928 and 62942?

Greatest common factor (GCF) of 62928 and 62942 is 2.

GCF(62928,62942) = 2

We will now calculate the prime factors of 62928 and 62942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62928 and 62942.

How to find the GCF of 62928 and 62942?

We will first find the prime factorization of 62928 and 62942. After we will calculate the factors of 62928 and 62942 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 62942

Prime factors of 62942 are 2, 11, 2861. Prime factorization of 62942 in exponential form is:

62942 = 2¹ × 11¹ × 2861¹

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 62942

List of positive integer factors of 62942 that divides 62928 without a remainder.

1, 2, 11, 22, 2861, 5722, 31471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62928 and 62942. The biggest common factor number is the GCF number.
So the greatest common factor 62928 and 62942 is 2.

Also check out the Least Common Multiple of 62928 and 62942