What is the Greatest Common Factor of 5315 and 5330?

Greatest common factor (GCF) of 5315 and 5330 is 5.

GCF(5315,5330) = 5

We will now calculate the prime factors of 5315 and 5330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5315 and 5330.

How to find the GCF of 5315 and 5330?

We will first find the prime factorization of 5315 and 5330. After we will calculate the factors of 5315 and 5330 and find the biggest common factor number .

Step-1: Prime Factorization of 5315

Prime factors of 5315 are 5, 1063. Prime factorization of 5315 in exponential form is:

5315 = 5¹ × 1063¹

Step-2: Prime Factorization of 5330

Prime factors of 5330 are 2, 5, 13, 41. Prime factorization of 5330 in exponential form is:

5330 = 2¹ × 5¹ × 13¹ × 41¹

Step-3: Factors of 5315

List of positive integer factors of 5315 that divides 5315 without a remainder.

1, 5, 1063

Step-4: Factors of 5330

List of positive integer factors of 5330 that divides 5315 without a remainder.

1, 2, 5, 10, 13, 26, 41, 65, 82, 130, 205, 410, 533, 1066, 2665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5315 and 5330. The biggest common factor number is the GCF number.
So the greatest common factor 5315 and 5330 is 5.

Also check out the Least Common Multiple of 5315 and 5330