What is the Greatest Common Factor of 63570 and 63590?

Greatest common factor (GCF) of 63570 and 63590 is 10.

GCF(63570,63590) = 10

We will now calculate the prime factors of 63570 and 63590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63570 and 63590.

How to find the GCF of 63570 and 63590?

We will first find the prime factorization of 63570 and 63590. After we will calculate the factors of 63570 and 63590 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63590

Prime factors of 63590 are 2, 5, 6359. Prime factorization of 63590 in exponential form is:

63590 = 2¹ × 5¹ × 6359¹

Step-3: Factors of 63570

List of positive integer factors of 63570 that divides 63570 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

Step-4: Factors of 63590

List of positive integer factors of 63590 that divides 63570 without a remainder.

1, 2, 5, 10, 6359, 12718, 31795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63570 and 63590. The biggest common factor number is the GCF number.
So the greatest common factor 63570 and 63590 is 10.

Also check out the Least Common Multiple of 63570 and 63590