What is the Greatest Common Factor of 52615 and 52620?

Greatest common factor (GCF) of 52615 and 52620 is 5.

GCF(52615,52620) = 5

We will now calculate the prime factors of 52615 and 52620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52615 and 52620.

How to find the GCF of 52615 and 52620?

We will first find the prime factorization of 52615 and 52620. After we will calculate the factors of 52615 and 52620 and find the biggest common factor number .

Step-1: Prime Factorization of 52615

Prime factors of 52615 are 5, 17, 619. Prime factorization of 52615 in exponential form is:

52615 = 5¹ × 17¹ × 619¹

Step-2: Prime Factorization of 52620

Prime factors of 52620 are 2, 3, 5, 877. Prime factorization of 52620 in exponential form is:

52620 = 2² × 3¹ × 5¹ × 877¹

Step-3: Factors of 52615

List of positive integer factors of 52615 that divides 52615 without a remainder.

1, 5, 17, 85, 619, 3095, 10523

Step-4: Factors of 52620

List of positive integer factors of 52620 that divides 52615 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 877, 1754, 2631, 3508, 4385, 5262, 8770, 10524, 13155, 17540, 26310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52615 and 52620. The biggest common factor number is the GCF number.
So the greatest common factor 52615 and 52620 is 5.

Also check out the Least Common Multiple of 52615 and 52620