What is the Greatest Common Factor of 84544 and 84552?

Greatest common factor (GCF) of 84544 and 84552 is 8.

GCF(84544,84552) = 8

We will now calculate the prime factors of 84544 and 84552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84544 and 84552.

How to find the GCF of 84544 and 84552?

We will first find the prime factorization of 84544 and 84552. After we will calculate the factors of 84544 and 84552 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 84552

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

84552 = 2³ × 3¹ × 13¹ × 271¹

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 84552

List of positive integer factors of 84552 that divides 84544 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84544 and 84552. The biggest common factor number is the GCF number.
So the greatest common factor 84544 and 84552 is 8.

Also check out the Least Common Multiple of 84544 and 84552