What is the Greatest Common Factor of 15564 and 15583?

Greatest common factor (GCF) of 15564 and 15583 is 1.

GCF(15564,15583) = 1

We will now calculate the prime factors of 15564 and 15583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15564 and 15583.

How to find the GCF of 15564 and 15583?

We will first find the prime factorization of 15564 and 15583. After we will calculate the factors of 15564 and 15583 and find the biggest common factor number .

Step-1: Prime Factorization of 15564

Prime factors of 15564 are 2, 3, 1297. Prime factorization of 15564 in exponential form is:

15564 = 2² × 3¹ × 1297¹

Step-2: Prime Factorization of 15583

Prime factors of 15583 are 15583. Prime factorization of 15583 in exponential form is:

15583 = 15583¹

Step-3: Factors of 15564

List of positive integer factors of 15564 that divides 15564 without a remainder.

1, 2, 3, 4, 6, 12, 1297, 2594, 3891, 5188, 7782

Step-4: Factors of 15583

List of positive integer factors of 15583 that divides 15564 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15564 and 15583. The biggest common factor number is the GCF number.
So the greatest common factor 15564 and 15583 is 1.

Also check out the Least Common Multiple of 15564 and 15583