What is the Greatest Common Factor of 63075 and 63095?

Greatest common factor (GCF) of 63075 and 63095 is 5.

GCF(63075,63095) = 5

We will now calculate the prime factors of 63075 and 63095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63075 and 63095.

How to find the GCF of 63075 and 63095?

We will first find the prime factorization of 63075 and 63095. After we will calculate the factors of 63075 and 63095 and find the biggest common factor number .

Step-1: Prime Factorization of 63075

Prime factors of 63075 are 3, 5, 29. Prime factorization of 63075 in exponential form is:

63075 = 3¹ × 5² × 29²

Step-2: Prime Factorization of 63095

Prime factors of 63095 are 5, 12619. Prime factorization of 63095 in exponential form is:

63095 = 5¹ × 12619¹

Step-3: Factors of 63075

List of positive integer factors of 63075 that divides 63075 without a remainder.

1, 3, 5, 15, 25, 29, 75, 87, 145, 435, 725, 841, 2175, 2523, 4205, 12615, 21025

Step-4: Factors of 63095

List of positive integer factors of 63095 that divides 63075 without a remainder.

1, 5, 12619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63075 and 63095. The biggest common factor number is the GCF number.
So the greatest common factor 63075 and 63095 is 5.

Also check out the Least Common Multiple of 63075 and 63095