What is the Greatest Common Factor of 84549 and 84564?

Greatest common factor (GCF) of 84549 and 84564 is 3.

GCF(84549,84564) = 3

We will now calculate the prime factors of 84549 and 84564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84549 and 84564.

How to find the GCF of 84549 and 84564?

We will first find the prime factorization of 84549 and 84564. After we will calculate the factors of 84549 and 84564 and find the biggest common factor number .

Step-1: Prime Factorization of 84549

Prime factors of 84549 are 3, 28183. Prime factorization of 84549 in exponential form is:

84549 = 3¹ × 28183¹

Step-2: Prime Factorization of 84564

Prime factors of 84564 are 2, 3, 29. Prime factorization of 84564 in exponential form is:

84564 = 2² × 3⁶ × 29¹

Step-3: Factors of 84549

List of positive integer factors of 84549 that divides 84549 without a remainder.

1, 3, 28183

Step-4: Factors of 84564

List of positive integer factors of 84564 that divides 84549 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 81, 87, 108, 116, 162, 174, 243, 261, 324, 348, 486, 522, 729, 783, 972, 1044, 1458, 1566, 2349, 2916, 3132, 4698, 7047, 9396, 14094, 21141, 28188, 42282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84549 and 84564. The biggest common factor number is the GCF number.
So the greatest common factor 84549 and 84564 is 3.

Also check out the Least Common Multiple of 84549 and 84564