What is the Greatest Common Factor of 84528 and 84540?

Greatest common factor (GCF) of 84528 and 84540 is 12.

GCF(84528,84540) = 12

We will now calculate the prime factors of 84528 and 84540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84528 and 84540.

How to find the GCF of 84528 and 84540?

We will first find the prime factorization of 84528 and 84540. After we will calculate the factors of 84528 and 84540 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 84540

Prime factors of 84540 are 2, 3, 5, 1409. Prime factorization of 84540 in exponential form is:

84540 = 2² × 3¹ × 5¹ × 1409¹

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 84540

List of positive integer factors of 84540 that divides 84528 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1409, 2818, 4227, 5636, 7045, 8454, 14090, 16908, 21135, 28180, 42270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84528 and 84540. The biggest common factor number is the GCF number.
So the greatest common factor 84528 and 84540 is 12.

Also check out the Least Common Multiple of 84528 and 84540