What is the Greatest Common Factor of 84513 and 84528?

Greatest common factor (GCF) of 84513 and 84528 is 3.

GCF(84513,84528) = 3

We will now calculate the prime factors of 84513 and 84528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84513 and 84528.

How to find the GCF of 84513 and 84528?

We will first find the prime factorization of 84513 and 84528. After we will calculate the factors of 84513 and 84528 and find the biggest common factor number .

Step-1: Prime Factorization of 84513

Prime factors of 84513 are 3, 11, 13, 197. Prime factorization of 84513 in exponential form is:

84513 = 3¹ × 11¹ × 13¹ × 197¹

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 84513

List of positive integer factors of 84513 that divides 84513 without a remainder.

1, 3, 11, 13, 33, 39, 143, 197, 429, 591, 2167, 2561, 6501, 7683, 28171

Step-4: Factors of 84528

List of positive integer factors of 84528 that divides 84513 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 84513 and 84528. The biggest common factor number is the GCF number.
So the greatest common factor 84513 and 84528 is 3.

Also check out the Least Common Multiple of 84513 and 84528