What is the Greatest Common Factor of 84544 and 84564?

Greatest common factor (GCF) of 84544 and 84564 is 4.

GCF(84544,84564) = 4

We will now calculate the prime factors of 84544 and 84564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84544 and 84564.

How to find the GCF of 84544 and 84564?

We will first find the prime factorization of 84544 and 84564. After we will calculate the factors of 84544 and 84564 and find the biggest common factor number .

Step-1: Prime Factorization of 84544

Prime factors of 84544 are 2, 1321. Prime factorization of 84544 in exponential form is:

84544 = 2⁶ × 1321¹

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 84544

List of positive integer factors of 84544 that divides 84544 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1321, 2642, 5284, 10568, 21136, 42272

Step-4: Factors of 84564

List of positive integer factors of 84564 that divides 84544 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 84544 and 84564. The biggest common factor number is the GCF number.
So the greatest common factor 84544 and 84564 is 4.

Also check out the Least Common Multiple of 84544 and 84564