What is the Greatest Common Factor of 84528 and 84544?

Greatest common factor (GCF) of 84528 and 84544 is 16.

GCF(84528,84544) = 16

We will now calculate the prime factors of 84528 and 84544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84528 and 84544.

How to find the GCF of 84528 and 84544?

We will first find the prime factorization of 84528 and 84544. After we will calculate the factors of 84528 and 84544 and find the biggest common factor number .

Step-1: Prime Factorization of 84528

Prime factors of 84528 are 2, 3, 587. Prime factorization of 84528 in exponential form is:

84528 = 2⁴ × 3² × 587¹

Step-2: Prime Factorization of 84544

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

84544 = 2⁶ × 1321¹

Step-3: Factors of 84528

List of positive integer factors of 84528 that divides 84528 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 587, 1174, 1761, 2348, 3522, 4696, 5283, 7044, 9392, 10566, 14088, 21132, 28176, 42264

Step-4: Factors of 84544

List of positive integer factors of 84544 that divides 84528 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84528 and 84544. The biggest common factor number is the GCF number.
So the greatest common factor 84528 and 84544 is 16.

Also check out the Least Common Multiple of 84528 and 84544