What is the Greatest Common Factor of 13620 and 13625?

Greatest common factor (GCF) of 13620 and 13625 is 5.

GCF(13620,13625) = 5

We will now calculate the prime factors of 13620 and 13625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13620 and 13625.

How to find the GCF of 13620 and 13625?

We will first find the prime factorization of 13620 and 13625. After we will calculate the factors of 13620 and 13625 and find the biggest common factor number .

Step-1: Prime Factorization of 13620

Prime factors of 13620 are 2, 3, 5, 227. Prime factorization of 13620 in exponential form is:

13620 = 2² × 3¹ × 5¹ × 227¹

Step-2: Prime Factorization of 13625

Prime factors of 13625 are 5, 109. Prime factorization of 13625 in exponential form is:

13625 = 5³ × 109¹

Step-3: Factors of 13620

List of positive integer factors of 13620 that divides 13620 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 227, 454, 681, 908, 1135, 1362, 2270, 2724, 3405, 4540, 6810

Step-4: Factors of 13625

List of positive integer factors of 13625 that divides 13620 without a remainder.

1, 5, 25, 109, 125, 545, 2725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13620 and 13625. The biggest common factor number is the GCF number.
So the greatest common factor 13620 and 13625 is 5.

Also check out the Least Common Multiple of 13620 and 13625