What is the Greatest Common Factor of 84509 and 84528?

Greatest common factor (GCF) of 84509 and 84528 is 1.

GCF(84509,84528) = 1

We will now calculate the prime factors of 84509 and 84528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84509 and 84528.

How to find the GCF of 84509 and 84528?

We will first find the prime factorization of 84509 and 84528. After we will calculate the factors of 84509 and 84528 and find the biggest common factor number .

Step-1: Prime Factorization of 84509

Prime factors of 84509 are 84509. Prime factorization of 84509 in exponential form is:

84509 = 84509¹

Step-2: 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-3: Factors of 84509

List of positive integer factors of 84509 that divides 84509 without a remainder.

Step-4: Factors of 84528

List of positive integer factors of 84528 that divides 84509 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84509 and 84528. The biggest common factor number is the GCF number.
So the greatest common factor 84509 and 84528 is 1.

Also check out the Least Common Multiple of 84509 and 84528