What is the Greatest Common Factor of 15555 and 15570?

Greatest common factor (GCF) of 15555 and 15570 is 15.

GCF(15555,15570) = 15

We will now calculate the prime factors of 15555 and 15570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15555 and 15570.

How to find the GCF of 15555 and 15570?

We will first find the prime factorization of 15555 and 15570. After we will calculate the factors of 15555 and 15570 and find the biggest common factor number .

Step-1: Prime Factorization of 15555

Prime factors of 15555 are 3, 5, 17, 61. Prime factorization of 15555 in exponential form is:

15555 = 3¹ × 5¹ × 17¹ × 61¹

Step-2: 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-3: Factors of 15555

List of positive integer factors of 15555 that divides 15555 without a remainder.

1, 3, 5, 15, 17, 51, 61, 85, 183, 255, 305, 915, 1037, 3111, 5185

Step-4: Factors of 15570

List of positive integer factors of 15570 that divides 15555 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15555 and 15570. The biggest common factor number is the GCF number.
So the greatest common factor 15555 and 15570 is 15.

Also check out the Least Common Multiple of 15555 and 15570