What is the Greatest Common Factor of 84564 and 84578?

Greatest common factor (GCF) of 84564 and 84578 is 2.

GCF(84564,84578) = 2

We will now calculate the prime factors of 84564 and 84578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84564 and 84578.

How to find the GCF of 84564 and 84578?

We will first find the prime factorization of 84564 and 84578. After we will calculate the factors of 84564 and 84578 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 84578

Prime factors of 84578 are 2, 13, 3253. Prime factorization of 84578 in exponential form is:

84578 = 2¹ × 13¹ × 3253¹

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 84578

List of positive integer factors of 84578 that divides 84564 without a remainder.

1, 2, 13, 26, 3253, 6506, 42289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84564 and 84578. The biggest common factor number is the GCF number.
So the greatest common factor 84564 and 84578 is 2.

Also check out the Least Common Multiple of 84564 and 84578