What is the Greatest Common Factor of 84564 and 84584?

Greatest common factor (GCF) of 84564 and 84584 is 4.

GCF(84564,84584) = 4

We will now calculate the prime factors of 84564 and 84584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84564 and 84584.

How to find the GCF of 84564 and 84584?

We will first find the prime factorization of 84564 and 84584. After we will calculate the factors of 84564 and 84584 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84584

Prime factors of 84584 are 2, 97, 109. Prime factorization of 84584 in exponential form is:

84584 = 2³ × 97¹ × 109¹

Step-3: Factors of 84564

List of positive integer factors of 84564 that divides 84564 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

Step-4: Factors of 84584

List of positive integer factors of 84584 that divides 84564 without a remainder.

1, 2, 4, 8, 97, 109, 194, 218, 388, 436, 776, 872, 10573, 21146, 42292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84564 and 84584. The biggest common factor number is the GCF number.
So the greatest common factor 84564 and 84584 is 4.

Also check out the Least Common Multiple of 84564 and 84584