What is the Greatest Common Factor of 13559 and 13572?

Greatest common factor (GCF) of 13559 and 13572 is 13.

GCF(13559,13572) = 13

We will now calculate the prime factors of 13559 and 13572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13559 and 13572.

How to find the GCF of 13559 and 13572?

We will first find the prime factorization of 13559 and 13572. After we will calculate the factors of 13559 and 13572 and find the biggest common factor number .

Step-1: Prime Factorization of 13559

Prime factors of 13559 are 7, 13, 149. Prime factorization of 13559 in exponential form is:

13559 = 7¹ × 13¹ × 149¹

Step-2: Prime Factorization of 13572

Prime factors of 13572 are 2, 3, 13, 29. Prime factorization of 13572 in exponential form is:

13572 = 2² × 3² × 13¹ × 29¹

Step-3: Factors of 13559

List of positive integer factors of 13559 that divides 13559 without a remainder.

1, 7, 13, 91, 149, 1043, 1937

Step-4: Factors of 13572

List of positive integer factors of 13572 that divides 13559 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 29, 36, 39, 52, 58, 78, 87, 116, 117, 156, 174, 234, 261, 348, 377, 468, 522, 754, 1044, 1131, 1508, 2262, 3393, 4524, 6786

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13559 and 13572. The biggest common factor number is the GCF number.
So the greatest common factor 13559 and 13572 is 13.

Also check out the Least Common Multiple of 13559 and 13572