What is the Greatest Common Factor of 5310 and 5315?

Greatest common factor (GCF) of 5310 and 5315 is 5.

GCF(5310,5315) = 5

We will now calculate the prime factors of 5310 and 5315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5310 and 5315.

How to find the GCF of 5310 and 5315?

We will first find the prime factorization of 5310 and 5315. After we will calculate the factors of 5310 and 5315 and find the biggest common factor number .

Step-1: Prime Factorization of 5310

Prime factors of 5310 are 2, 3, 5, 59. Prime factorization of 5310 in exponential form is:

5310 = 2¹ × 3² × 5¹ × 59¹

Step-2: Prime Factorization of 5315

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

5315 = 5¹ × 1063¹

Step-3: Factors of 5310

List of positive integer factors of 5310 that divides 5310 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 59, 90, 118, 177, 295, 354, 531, 590, 885, 1062, 1770, 2655

Step-4: Factors of 5315

List of positive integer factors of 5315 that divides 5310 without a remainder.

1, 5, 1063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5310 and 5315. The biggest common factor number is the GCF number.
So the greatest common factor 5310 and 5315 is 5.

Also check out the Least Common Multiple of 5310 and 5315