What is the Greatest Common Factor of 63675 and 63689?

Greatest common factor (GCF) of 63675 and 63689 is 1.

GCF(63675,63689) = 1

We will now calculate the prime factors of 63675 and 63689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63675 and 63689.

How to find the GCF of 63675 and 63689?

We will first find the prime factorization of 63675 and 63689. After we will calculate the factors of 63675 and 63689 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 63689

Prime factors of 63689 are 63689. Prime factorization of 63689 in exponential form is:

63689 = 63689¹

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 63689

List of positive integer factors of 63689 that divides 63675 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63675 and 63689. The biggest common factor number is the GCF number.
So the greatest common factor 63675 and 63689 is 1.

Also check out the Least Common Multiple of 63675 and 63689