What is the Greatest Common Factor of 63680 and 63700?

Greatest common factor (GCF) of 63680 and 63700 is 20.

GCF(63680,63700) = 20

We will now calculate the prime factors of 63680 and 63700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63680 and 63700.

How to find the GCF of 63680 and 63700?

We will first find the prime factorization of 63680 and 63700. After we will calculate the factors of 63680 and 63700 and find the biggest common factor number .

Step-1: Prime Factorization of 63680

Prime factors of 63680 are 2, 5, 199. Prime factorization of 63680 in exponential form is:

63680 = 2⁶ × 5¹ × 199¹

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 63680

List of positive integer factors of 63680 that divides 63680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 199, 320, 398, 796, 995, 1592, 1990, 3184, 3980, 6368, 7960, 12736, 15920, 31840

Step-4: Factors of 63700

List of positive integer factors of 63700 that divides 63680 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 63680 and 63700. The biggest common factor number is the GCF number.
So the greatest common factor 63680 and 63700 is 20.

Also check out the Least Common Multiple of 63680 and 63700