What is the Greatest Common Factor of 63069 and 63075?

Greatest common factor (GCF) of 63069 and 63075 is 3.

GCF(63069,63075) = 3

We will now calculate the prime factors of 63069 and 63075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63069 and 63075.

How to find the GCF of 63069 and 63075?

We will first find the prime factorization of 63069 and 63075. After we will calculate the factors of 63069 and 63075 and find the biggest common factor number .

Step-1: Prime Factorization of 63069

Prime factors of 63069 are 3, 21023. Prime factorization of 63069 in exponential form is:

63069 = 3¹ × 21023¹

Step-2: 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-3: Factors of 63069

List of positive integer factors of 63069 that divides 63069 without a remainder.

1, 3, 21023

Step-4: Factors of 63075

List of positive integer factors of 63075 that divides 63069 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63069 and 63075. The biggest common factor number is the GCF number.
So the greatest common factor 63069 and 63075 is 3.

Also check out the Least Common Multiple of 63069 and 63075