What is the Greatest Common Factor of 84621 and 84627?

Greatest common factor (GCF) of 84621 and 84627 is 3.

GCF(84621,84627) = 3

We will now calculate the prime factors of 84621 and 84627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84621 and 84627.

How to find the GCF of 84621 and 84627?

We will first find the prime factorization of 84621 and 84627. After we will calculate the factors of 84621 and 84627 and find the biggest common factor number .

Step-1: Prime Factorization of 84621

Prime factors of 84621 are 3, 67, 421. Prime factorization of 84621 in exponential form is:

84621 = 3¹ × 67¹ × 421¹

Step-2: Prime Factorization of 84627

Prime factors of 84627 are 3, 9403. Prime factorization of 84627 in exponential form is:

84627 = 3² × 9403¹

Step-3: Factors of 84621

List of positive integer factors of 84621 that divides 84621 without a remainder.

1, 3, 67, 201, 421, 1263, 28207

Step-4: Factors of 84627

List of positive integer factors of 84627 that divides 84621 without a remainder.

1, 3, 9, 9403, 28209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84621 and 84627. The biggest common factor number is the GCF number.
So the greatest common factor 84621 and 84627 is 3.

Also check out the Least Common Multiple of 84621 and 84627