What is the Greatest Common Factor of 62944 and 62959?

Greatest common factor (GCF) of 62944 and 62959 is 1.

GCF(62944,62959) = 1

We will now calculate the prime factors of 62944 and 62959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62944 and 62959.

How to find the GCF of 62944 and 62959?

We will first find the prime factorization of 62944 and 62959. After we will calculate the factors of 62944 and 62959 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 62959

Prime factors of 62959 are 13, 29, 167. Prime factorization of 62959 in exponential form is:

62959 = 13¹ × 29¹ × 167¹

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 62959

List of positive integer factors of 62959 that divides 62944 without a remainder.

1, 13, 29, 167, 377, 2171, 4843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62944 and 62959. The biggest common factor number is the GCF number.
So the greatest common factor 62944 and 62959 is 1.

Also check out the Least Common Multiple of 62944 and 62959