What is the Greatest Common Factor of 62944 and 62956?

Greatest common factor (GCF) of 62944 and 62956 is 4.

GCF(62944,62956) = 4

We will now calculate the prime factors of 62944 and 62956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62944 and 62956.

How to find the GCF of 62944 and 62956?

We will first find the prime factorization of 62944 and 62956. After we will calculate the factors of 62944 and 62956 and find the biggest common factor number .

Step-1: Prime Factorization of 62944

Prime factors of 62944 are 2, 7, 281. Prime factorization of 62944 in exponential form is:

62944 = 2⁵ × 7¹ × 281¹

Step-2: Prime Factorization of 62956

Prime factors of 62956 are 2, 15739. Prime factorization of 62956 in exponential form is:

62956 = 2² × 15739¹

Step-3: Factors of 62944

List of positive integer factors of 62944 that divides 62944 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 281, 562, 1124, 1967, 2248, 3934, 4496, 7868, 8992, 15736, 31472

Step-4: Factors of 62956

List of positive integer factors of 62956 that divides 62944 without a remainder.

1, 2, 4, 15739, 31478

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62944 and 62956. The biggest common factor number is the GCF number.
So the greatest common factor 62944 and 62956 is 4.

Also check out the Least Common Multiple of 62944 and 62956