What is the Greatest Common Factor of 84552 and 84564?

Greatest common factor (GCF) of 84552 and 84564 is 12.

GCF(84552,84564) = 12

We will now calculate the prime factors of 84552 and 84564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84552 and 84564.

How to find the GCF of 84552 and 84564?

We will first find the prime factorization of 84552 and 84564. After we will calculate the factors of 84552 and 84564 and find the biggest common factor number .

Step-1: Prime Factorization of 84552

Prime factors of 84552 are 2, 3, 13, 271. Prime factorization of 84552 in exponential form is:

84552 = 2³ × 3¹ × 13¹ × 271¹

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 84552

List of positive integer factors of 84552 that divides 84552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 271, 312, 542, 813, 1084, 1626, 2168, 3252, 3523, 6504, 7046, 10569, 14092, 21138, 28184, 42276

Step-4: Factors of 84564

List of positive integer factors of 84564 that divides 84552 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 84552 and 84564. The biggest common factor number is the GCF number.
So the greatest common factor 84552 and 84564 is 12.

Also check out the Least Common Multiple of 84552 and 84564