What is the Greatest Common Factor of 63550 and 63570?

Greatest common factor (GCF) of 63550 and 63570 is 10.

GCF(63550,63570) = 10

We will now calculate the prime factors of 63550 and 63570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63550 and 63570.

How to find the GCF of 63550 and 63570?

We will first find the prime factorization of 63550 and 63570. After we will calculate the factors of 63550 and 63570 and find the biggest common factor number .

Step-1: Prime Factorization of 63550

Prime factors of 63550 are 2, 5, 31, 41. Prime factorization of 63550 in exponential form is:

63550 = 2¹ × 5² × 31¹ × 41¹

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 63550

List of positive integer factors of 63550 that divides 63550 without a remainder.

1, 2, 5, 10, 25, 31, 41, 50, 62, 82, 155, 205, 310, 410, 775, 1025, 1271, 1550, 2050, 2542, 6355, 12710, 31775

Step-4: Factors of 63570

List of positive integer factors of 63570 that divides 63550 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 63550 and 63570. The biggest common factor number is the GCF number.
So the greatest common factor 63550 and 63570 is 10.

Also check out the Least Common Multiple of 63550 and 63570