What is the Greatest Common Factor of 63075 and 63081?

Greatest common factor (GCF) of 63075 and 63081 is 3.

GCF(63075,63081) = 3

We will now calculate the prime factors of 63075 and 63081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63075 and 63081.

How to find the GCF of 63075 and 63081?

We will first find the prime factorization of 63075 and 63081. After we will calculate the factors of 63075 and 63081 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 63081

Prime factors of 63081 are 3, 43, 163. Prime factorization of 63081 in exponential form is:

63081 = 3² × 43¹ × 163¹

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 63081

List of positive integer factors of 63081 that divides 63075 without a remainder.

1, 3, 9, 43, 129, 163, 387, 489, 1467, 7009, 21027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63075 and 63081. The biggest common factor number is the GCF number.
So the greatest common factor 63075 and 63081 is 3.

Also check out the Least Common Multiple of 63075 and 63081