What is the Greatest Common Factor of 63675 and 63680?

Greatest common factor (GCF) of 63675 and 63680 is 5.

GCF(63675,63680) = 5

We will now calculate the prime factors of 63675 and 63680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63675 and 63680.

How to find the GCF of 63675 and 63680?

We will first find the prime factorization of 63675 and 63680. After we will calculate the factors of 63675 and 63680 and find the biggest common factor number .

Step-1: Prime Factorization of 63675

Prime factors of 63675 are 3, 5, 283. Prime factorization of 63675 in exponential form is:

63675 = 3² × 5² × 283¹

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 63675

List of positive integer factors of 63675 that divides 63675 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 283, 849, 1415, 2547, 4245, 7075, 12735, 21225

Step-4: Factors of 63680

List of positive integer factors of 63680 that divides 63675 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 63675 and 63680. The biggest common factor number is the GCF number.
So the greatest common factor 63675 and 63680 is 5.

Also check out the Least Common Multiple of 63675 and 63680