What is the Greatest Common Factor of 5056 and 5072?

Greatest common factor (GCF) of 5056 and 5072 is 16.

GCF(5056,5072) = 16

We will now calculate the prime factors of 5056 and 5072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5056 and 5072.

How to find the GCF of 5056 and 5072?

We will first find the prime factorization of 5056 and 5072. After we will calculate the factors of 5056 and 5072 and find the biggest common factor number .

Step-1: Prime Factorization of 5056

Prime factors of 5056 are 2, 79. Prime factorization of 5056 in exponential form is:

5056 = 2⁶ × 79¹

Step-2: Prime Factorization of 5072

Prime factors of 5072 are 2, 317. Prime factorization of 5072 in exponential form is:

5072 = 2⁴ × 317¹

Step-3: Factors of 5056

List of positive integer factors of 5056 that divides 5056 without a remainder.

1, 2, 4, 8, 16, 32, 64, 79, 158, 316, 632, 1264, 2528

Step-4: Factors of 5072

List of positive integer factors of 5072 that divides 5056 without a remainder.

1, 2, 4, 8, 16, 317, 634, 1268, 2536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5056 and 5072. The biggest common factor number is the GCF number.
So the greatest common factor 5056 and 5072 is 16.

Also check out the Least Common Multiple of 5056 and 5072