What is the Greatest Common Factor of 27063 and 27075?

Greatest common factor (GCF) of 27063 and 27075 is 3.

GCF(27063,27075) = 3

We will now calculate the prime factors of 27063 and 27075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27063 and 27075.

How to find the GCF of 27063 and 27075?

We will first find the prime factorization of 27063 and 27075. After we will calculate the factors of 27063 and 27075 and find the biggest common factor number .

Step-1: Prime Factorization of 27063

Prime factors of 27063 are 3, 31, 97. Prime factorization of 27063 in exponential form is:

27063 = 3² × 31¹ × 97¹

Step-2: Prime Factorization of 27075

Prime factors of 27075 are 3, 5, 19. Prime factorization of 27075 in exponential form is:

27075 = 3¹ × 5² × 19²

Step-3: Factors of 27063

List of positive integer factors of 27063 that divides 27063 without a remainder.

1, 3, 9, 31, 93, 97, 279, 291, 873, 3007, 9021

Step-4: Factors of 27075

List of positive integer factors of 27075 that divides 27063 without a remainder.

1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 361, 475, 1083, 1425, 1805, 5415, 9025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27063 and 27075. The biggest common factor number is the GCF number.
So the greatest common factor 27063 and 27075 is 3.

Also check out the Least Common Multiple of 27063 and 27075