What is the Greatest Common Factor of 15561 and 15574?

Greatest common factor (GCF) of 15561 and 15574 is 13.

GCF(15561,15574) = 13

We will now calculate the prime factors of 15561 and 15574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15561 and 15574.

How to find the GCF of 15561 and 15574?

We will first find the prime factorization of 15561 and 15574. After we will calculate the factors of 15561 and 15574 and find the biggest common factor number .

Step-1: Prime Factorization of 15561

Prime factors of 15561 are 3, 7, 13, 19. Prime factorization of 15561 in exponential form is:

15561 = 3² × 7¹ × 13¹ × 19¹

Step-2: Prime Factorization of 15574

Prime factors of 15574 are 2, 13, 599. Prime factorization of 15574 in exponential form is:

15574 = 2¹ × 13¹ × 599¹

Step-3: Factors of 15561

List of positive integer factors of 15561 that divides 15561 without a remainder.

1, 3, 7, 9, 13, 19, 21, 39, 57, 63, 91, 117, 133, 171, 247, 273, 399, 741, 819, 1197, 1729, 2223, 5187

Step-4: Factors of 15574

List of positive integer factors of 15574 that divides 15561 without a remainder.

1, 2, 13, 26, 599, 1198, 7787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15561 and 15574. The biggest common factor number is the GCF number.
So the greatest common factor 15561 and 15574 is 13.

Also check out the Least Common Multiple of 15561 and 15574