What is the Greatest Common Factor of 52600 and 52620?

Greatest common factor (GCF) of 52600 and 52620 is 20.

GCF(52600,52620) = 20

We will now calculate the prime factors of 52600 and 52620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52600 and 52620.

How to find the GCF of 52600 and 52620?

We will first find the prime factorization of 52600 and 52620. After we will calculate the factors of 52600 and 52620 and find the biggest common factor number .

Step-1: Prime Factorization of 52600

Prime factors of 52600 are 2, 5, 263. Prime factorization of 52600 in exponential form is:

52600 = 2³ × 5² × 263¹

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 52600

List of positive integer factors of 52600 that divides 52600 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 263, 526, 1052, 1315, 2104, 2630, 5260, 6575, 10520, 13150, 26300

Step-4: Factors of 52620

List of positive integer factors of 52620 that divides 52600 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 52600 and 52620. The biggest common factor number is the GCF number.
So the greatest common factor 52600 and 52620 is 20.

Also check out the Least Common Multiple of 52600 and 52620