What is the Greatest Common Factor of 63695 and 63700?

Greatest common factor (GCF) of 63695 and 63700 is 5.

GCF(63695,63700) = 5

We will now calculate the prime factors of 63695 and 63700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63695 and 63700.

How to find the GCF of 63695 and 63700?

We will first find the prime factorization of 63695 and 63700. After we will calculate the factors of 63695 and 63700 and find the biggest common factor number .

Step-1: Prime Factorization of 63695

Prime factors of 63695 are 5, 12739. Prime factorization of 63695 in exponential form is:

63695 = 5¹ × 12739¹

Step-2: Prime Factorization of 63700

Prime factors of 63700 are 2, 5, 7, 13. Prime factorization of 63700 in exponential form is:

63700 = 2² × 5² × 7² × 13¹

Step-3: Factors of 63695

List of positive integer factors of 63695 that divides 63695 without a remainder.

1, 5, 12739

Step-4: Factors of 63700

List of positive integer factors of 63700 that divides 63695 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 25, 26, 28, 35, 49, 50, 52, 65, 70, 91, 98, 100, 130, 140, 175, 182, 196, 245, 260, 325, 350, 364, 455, 490, 637, 650, 700, 910, 980, 1225, 1274, 1300, 1820, 2275, 2450, 2548, 3185, 4550, 4900, 6370, 9100, 12740, 15925, 31850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63695 and 63700. The biggest common factor number is the GCF number.
So the greatest common factor 63695 and 63700 is 5.

Also check out the Least Common Multiple of 63695 and 63700