What is the Greatest Common Factor of 5088 and 5097?

Greatest common factor (GCF) of 5088 and 5097 is 3.

GCF(5088,5097) = 3

We will now calculate the prime factors of 5088 and 5097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5088 and 5097.

How to find the GCF of 5088 and 5097?

We will first find the prime factorization of 5088 and 5097. After we will calculate the factors of 5088 and 5097 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5097

Prime factors of 5097 are 3, 1699. Prime factorization of 5097 in exponential form is:

5097 = 3¹ × 1699¹

Step-3: Factors of 5088

List of positive integer factors of 5088 that divides 5088 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

Step-4: Factors of 5097

List of positive integer factors of 5097 that divides 5088 without a remainder.

1, 3, 1699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5088 and 5097. The biggest common factor number is the GCF number.
So the greatest common factor 5088 and 5097 is 3.

Also check out the Least Common Multiple of 5088 and 5097