What is the Greatest Common Factor of 63715 and 63720?

Greatest common factor (GCF) of 63715 and 63720 is 5.

GCF(63715,63720) = 5

We will now calculate the prime factors of 63715 and 63720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63715 and 63720.

How to find the GCF of 63715 and 63720?

We will first find the prime factorization of 63715 and 63720. After we will calculate the factors of 63715 and 63720 and find the biggest common factor number .

Step-1: Prime Factorization of 63715

Prime factors of 63715 are 5, 12743. Prime factorization of 63715 in exponential form is:

63715 = 5¹ × 12743¹

Step-2: Prime Factorization of 63720

Prime factors of 63720 are 2, 3, 5, 59. Prime factorization of 63720 in exponential form is:

63720 = 2³ × 3³ × 5¹ × 59¹

Step-3: Factors of 63715

List of positive integer factors of 63715 that divides 63715 without a remainder.

1, 5, 12743

Step-4: Factors of 63720

List of positive integer factors of 63720 that divides 63715 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 59, 60, 72, 90, 108, 118, 120, 135, 177, 180, 216, 236, 270, 295, 354, 360, 472, 531, 540, 590, 708, 885, 1062, 1080, 1180, 1416, 1593, 1770, 2124, 2360, 2655, 3186, 3540, 4248, 5310, 6372, 7080, 7965, 10620, 12744, 15930, 21240, 31860

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63715 and 63720. The biggest common factor number is the GCF number.
So the greatest common factor 63715 and 63720 is 5.

Also check out the Least Common Multiple of 63715 and 63720