What is the Greatest Common Factor of 42524 and 42540?

Greatest common factor (GCF) of 42524 and 42540 is 4.

GCF(42524,42540) = 4

We will now calculate the prime factors of 42524 and 42540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42524 and 42540.

How to find the GCF of 42524 and 42540?

We will first find the prime factorization of 42524 and 42540. After we will calculate the factors of 42524 and 42540 and find the biggest common factor number .

Step-1: Prime Factorization of 42524

Prime factors of 42524 are 2, 10631. Prime factorization of 42524 in exponential form is:

42524 = 2² × 10631¹

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 42524

List of positive integer factors of 42524 that divides 42524 without a remainder.

1, 2, 4, 10631, 21262

Step-4: Factors of 42540

List of positive integer factors of 42540 that divides 42524 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 42524 and 42540. The biggest common factor number is the GCF number.
So the greatest common factor 42524 and 42540 is 4.

Also check out the Least Common Multiple of 42524 and 42540