What is the Greatest Common Factor of 27012 and 27032?

Greatest common factor (GCF) of 27012 and 27032 is 4.

GCF(27012,27032) = 4

We will now calculate the prime factors of 27012 and 27032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27012 and 27032.

How to find the GCF of 27012 and 27032?

We will first find the prime factorization of 27012 and 27032. After we will calculate the factors of 27012 and 27032 and find the biggest common factor number .

Step-1: Prime Factorization of 27012

Prime factors of 27012 are 2, 3, 2251. Prime factorization of 27012 in exponential form is:

27012 = 2² × 3¹ × 2251¹

Step-2: Prime Factorization of 27032

Prime factors of 27032 are 2, 31, 109. Prime factorization of 27032 in exponential form is:

27032 = 2³ × 31¹ × 109¹

Step-3: Factors of 27012

List of positive integer factors of 27012 that divides 27012 without a remainder.

1, 2, 3, 4, 6, 12, 2251, 4502, 6753, 9004, 13506

Step-4: Factors of 27032

List of positive integer factors of 27032 that divides 27012 without a remainder.

1, 2, 4, 8, 31, 62, 109, 124, 218, 248, 436, 872, 3379, 6758, 13516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27012 and 27032. The biggest common factor number is the GCF number.
So the greatest common factor 27012 and 27032 is 4.

Also check out the Least Common Multiple of 27012 and 27032