What is the Greatest Common Factor of 15570 and 15585?

Greatest common factor (GCF) of 15570 and 15585 is 15.

GCF(15570,15585) = 15

We will now calculate the prime factors of 15570 and 15585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15570 and 15585.

How to find the GCF of 15570 and 15585?

We will first find the prime factorization of 15570 and 15585. After we will calculate the factors of 15570 and 15585 and find the biggest common factor number .

Step-1: Prime Factorization of 15570

Prime factors of 15570 are 2, 3, 5, 173. Prime factorization of 15570 in exponential form is:

15570 = 2¹ × 3² × 5¹ × 173¹

Step-2: Prime Factorization of 15585

Prime factors of 15585 are 3, 5, 1039. Prime factorization of 15585 in exponential form is:

15585 = 3¹ × 5¹ × 1039¹

Step-3: Factors of 15570

List of positive integer factors of 15570 that divides 15570 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 173, 346, 519, 865, 1038, 1557, 1730, 2595, 3114, 5190, 7785

Step-4: Factors of 15585

List of positive integer factors of 15585 that divides 15570 without a remainder.

1, 3, 5, 15, 1039, 3117, 5195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15570 and 15585. The biggest common factor number is the GCF number.
So the greatest common factor 15570 and 15585 is 15.

Also check out the Least Common Multiple of 15570 and 15585