What is the Greatest Common Factor of 5072 and 5088?

Greatest common factor (GCF) of 5072 and 5088 is 16.

GCF(5072,5088) = 16

We will now calculate the prime factors of 5072 and 5088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5072 and 5088.

How to find the GCF of 5072 and 5088?

We will first find the prime factorization of 5072 and 5088. After we will calculate the factors of 5072 and 5088 and find the biggest common factor number .

Step-1: Prime Factorization of 5072

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

5072 = 2⁴ × 317¹

Step-2: Prime Factorization of 5088

Prime factors of 5088 are 2, 3, 53. Prime factorization of 5088 in exponential form is:

5088 = 2⁵ × 3¹ × 53¹

Step-3: Factors of 5072

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

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

Step-4: Factors of 5088

List of positive integer factors of 5088 that divides 5072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 96, 106, 159, 212, 318, 424, 636, 848, 1272, 1696, 2544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5072 and 5088. The biggest common factor number is the GCF number.
So the greatest common factor 5072 and 5088 is 16.

Also check out the Least Common Multiple of 5072 and 5088