What is the Greatest Common Factor of 13560 and 13575?

Greatest common factor (GCF) of 13560 and 13575 is 15.

GCF(13560,13575) = 15

We will now calculate the prime factors of 13560 and 13575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13560 and 13575.

How to find the GCF of 13560 and 13575?

We will first find the prime factorization of 13560 and 13575. After we will calculate the factors of 13560 and 13575 and find the biggest common factor number .

Step-1: Prime Factorization of 13560

Prime factors of 13560 are 2, 3, 5, 113. Prime factorization of 13560 in exponential form is:

13560 = 2³ × 3¹ × 5¹ × 113¹

Step-2: Prime Factorization of 13575

Prime factors of 13575 are 3, 5, 181. Prime factorization of 13575 in exponential form is:

13575 = 3¹ × 5² × 181¹

Step-3: Factors of 13560

List of positive integer factors of 13560 that divides 13560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 113, 120, 226, 339, 452, 565, 678, 904, 1130, 1356, 1695, 2260, 2712, 3390, 4520, 6780

Step-4: Factors of 13575

List of positive integer factors of 13575 that divides 13560 without a remainder.

1, 3, 5, 15, 25, 75, 181, 543, 905, 2715, 4525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13560 and 13575. The biggest common factor number is the GCF number.
So the greatest common factor 13560 and 13575 is 15.

Also check out the Least Common Multiple of 13560 and 13575