What is the Greatest Common Factor of 13563 and 13575?

Greatest common factor (GCF) of 13563 and 13575 is 3.

GCF(13563,13575) = 3

We will now calculate the prime factors of 13563 and 13575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13563 and 13575.

How to find the GCF of 13563 and 13575?

We will first find the prime factorization of 13563 and 13575. After we will calculate the factors of 13563 and 13575 and find the biggest common factor number .

Step-1: Prime Factorization of 13563

Prime factors of 13563 are 3, 11, 137. Prime factorization of 13563 in exponential form is:

13563 = 3² × 11¹ × 137¹

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 13563

List of positive integer factors of 13563 that divides 13563 without a remainder.

1, 3, 9, 11, 33, 99, 137, 411, 1233, 1507, 4521

Step-4: Factors of 13575

List of positive integer factors of 13575 that divides 13563 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 13563 and 13575. The biggest common factor number is the GCF number.
So the greatest common factor 13563 and 13575 is 3.

Also check out the Least Common Multiple of 13563 and 13575