What is the Greatest Common Factor of 63563 and 63580?

Greatest common factor (GCF) of 63563 and 63580 is 17.

GCF(63563,63580) = 17

We will now calculate the prime factors of 63563 and 63580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63563 and 63580.

How to find the GCF of 63563 and 63580?

We will first find the prime factorization of 63563 and 63580. After we will calculate the factors of 63563 and 63580 and find the biggest common factor number .

Step-1: Prime Factorization of 63563

Prime factors of 63563 are 17, 3739. Prime factorization of 63563 in exponential form is:

63563 = 17¹ × 3739¹

Step-2: Prime Factorization of 63580

Prime factors of 63580 are 2, 5, 11, 17. Prime factorization of 63580 in exponential form is:

63580 = 2² × 5¹ × 11¹ × 17²

Step-3: Factors of 63563

List of positive integer factors of 63563 that divides 63563 without a remainder.

1, 17, 3739

Step-4: Factors of 63580

List of positive integer factors of 63580 that divides 63563 without a remainder.

1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 289, 340, 374, 578, 748, 935, 1156, 1445, 1870, 2890, 3179, 3740, 5780, 6358, 12716, 15895, 31790

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63563 and 63580. The biggest common factor number is the GCF number.
So the greatest common factor 63563 and 63580 is 17.

Also check out the Least Common Multiple of 63563 and 63580