What is the Greatest Common Factor of 62932 and 62944?

Greatest common factor (GCF) of 62932 and 62944 is 4.

GCF(62932,62944) = 4

We will now calculate the prime factors of 62932 and 62944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62932 and 62944.

How to find the GCF of 62932 and 62944?

We will first find the prime factorization of 62932 and 62944. After we will calculate the factors of 62932 and 62944 and find the biggest common factor number .

Step-1: Prime Factorization of 62932

Prime factors of 62932 are 2, 15733. Prime factorization of 62932 in exponential form is:

62932 = 2² × 15733¹

Step-2: 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-3: Factors of 62932

List of positive integer factors of 62932 that divides 62932 without a remainder.

1, 2, 4, 15733, 31466

Step-4: Factors of 62944

List of positive integer factors of 62944 that divides 62932 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62932 and 62944. The biggest common factor number is the GCF number.
So the greatest common factor 62932 and 62944 is 4.

Also check out the Least Common Multiple of 62932 and 62944