What is the Greatest Common Factor of 63670 and 63680?

Greatest common factor (GCF) of 63670 and 63680 is 10.

GCF(63670,63680) = 10

We will now calculate the prime factors of 63670 and 63680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63670 and 63680.

How to find the GCF of 63670 and 63680?

We will first find the prime factorization of 63670 and 63680. After we will calculate the factors of 63670 and 63680 and find the biggest common factor number .

Step-1: Prime Factorization of 63670

Prime factors of 63670 are 2, 5, 6367. Prime factorization of 63670 in exponential form is:

63670 = 2¹ × 5¹ × 6367¹

Step-2: 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-3: Factors of 63670

List of positive integer factors of 63670 that divides 63670 without a remainder.

1, 2, 5, 10, 6367, 12734, 31835

Step-4: Factors of 63680

List of positive integer factors of 63680 that divides 63670 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63670 and 63680. The biggest common factor number is the GCF number.
So the greatest common factor 63670 and 63680 is 10.

Also check out the Least Common Multiple of 63670 and 63680