What is the Greatest Common Factor of 42528 and 42540?

Greatest common factor (GCF) of 42528 and 42540 is 12.

GCF(42528,42540) = 12

We will now calculate the prime factors of 42528 and 42540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42528 and 42540.

How to find the GCF of 42528 and 42540?

We will first find the prime factorization of 42528 and 42540. After we will calculate the factors of 42528 and 42540 and find the biggest common factor number .

Step-1: Prime Factorization of 42528

Prime factors of 42528 are 2, 3, 443. Prime factorization of 42528 in exponential form is:

42528 = 2⁵ × 3¹ × 443¹

Step-2: Prime Factorization of 42540

Prime factors of 42540 are 2, 3, 5, 709. Prime factorization of 42540 in exponential form is:

42540 = 2² × 3¹ × 5¹ × 709¹

Step-3: Factors of 42528

List of positive integer factors of 42528 that divides 42528 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 443, 886, 1329, 1772, 2658, 3544, 5316, 7088, 10632, 14176, 21264

Step-4: Factors of 42540

List of positive integer factors of 42540 that divides 42528 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 709, 1418, 2127, 2836, 3545, 4254, 7090, 8508, 10635, 14180, 21270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42528 and 42540. The biggest common factor number is the GCF number.
So the greatest common factor 42528 and 42540 is 12.

Also check out the Least Common Multiple of 42528 and 42540