What is the Greatest Common Factor of 63555 and 63570?

Greatest common factor (GCF) of 63555 and 63570 is 15.

GCF(63555,63570) = 15

We will now calculate the prime factors of 63555 and 63570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63555 and 63570.

How to find the GCF of 63555 and 63570?

We will first find the prime factorization of 63555 and 63570. After we will calculate the factors of 63555 and 63570 and find the biggest common factor number .

Step-1: Prime Factorization of 63555

Prime factors of 63555 are 3, 5, 19, 223. Prime factorization of 63555 in exponential form is:

63555 = 3¹ × 5¹ × 19¹ × 223¹

Step-2: Prime Factorization of 63570

Prime factors of 63570 are 2, 3, 5, 13, 163. Prime factorization of 63570 in exponential form is:

63570 = 2¹ × 3¹ × 5¹ × 13¹ × 163¹

Step-3: Factors of 63555

List of positive integer factors of 63555 that divides 63555 without a remainder.

1, 3, 5, 15, 19, 57, 95, 223, 285, 669, 1115, 3345, 4237, 12711, 21185

Step-4: Factors of 63570

List of positive integer factors of 63570 that divides 63555 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 163, 195, 326, 390, 489, 815, 978, 1630, 2119, 2445, 4238, 4890, 6357, 10595, 12714, 21190, 31785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63555 and 63570. The biggest common factor number is the GCF number.
So the greatest common factor 63555 and 63570 is 15.

Also check out the Least Common Multiple of 63555 and 63570