What is the Greatest Common Factor of 84027 and 84039?

Greatest common factor (GCF) of 84027 and 84039 is 3.

GCF(84027,84039) = 3

We will now calculate the prime factors of 84027 and 84039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84027 and 84039.

How to find the GCF of 84027 and 84039?

We will first find the prime factorization of 84027 and 84039. After we will calculate the factors of 84027 and 84039 and find the biggest common factor number .

Step-1: Prime Factorization of 84027

Prime factors of 84027 are 3, 37, 757. Prime factorization of 84027 in exponential form is:

84027 = 3¹ × 37¹ × 757¹

Step-2: Prime Factorization of 84039

Prime factors of 84039 are 3, 109, 257. Prime factorization of 84039 in exponential form is:

84039 = 3¹ × 109¹ × 257¹

Step-3: Factors of 84027

List of positive integer factors of 84027 that divides 84027 without a remainder.

1, 3, 37, 111, 757, 2271, 28009

Step-4: Factors of 84039

List of positive integer factors of 84039 that divides 84027 without a remainder.

1, 3, 109, 257, 327, 771, 28013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84027 and 84039. The biggest common factor number is the GCF number.
So the greatest common factor 84027 and 84039 is 3.

Also check out the Least Common Multiple of 84027 and 84039