What is the Greatest Common Factor of 63680 and 63685?

Greatest common factor (GCF) of 63680 and 63685 is 5.

GCF(63680,63685) = 5

We will now calculate the prime factors of 63680 and 63685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63680 and 63685.

How to find the GCF of 63680 and 63685?

We will first find the prime factorization of 63680 and 63685. After we will calculate the factors of 63680 and 63685 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 63685

Prime factors of 63685 are 5, 47, 271. Prime factorization of 63685 in exponential form is:

63685 = 5¹ × 47¹ × 271¹

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 63685

List of positive integer factors of 63685 that divides 63680 without a remainder.

1, 5, 47, 235, 271, 1355, 12737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63680 and 63685. The biggest common factor number is the GCF number.
So the greatest common factor 63680 and 63685 is 5.

Also check out the Least Common Multiple of 63680 and 63685