What is the Greatest Common Factor of 42564 and 42580?

Greatest common factor (GCF) of 42564 and 42580 is 4.

GCF(42564,42580) = 4

We will now calculate the prime factors of 42564 and 42580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42564 and 42580.

How to find the GCF of 42564 and 42580?

We will first find the prime factorization of 42564 and 42580. After we will calculate the factors of 42564 and 42580 and find the biggest common factor number .

Step-1: Prime Factorization of 42564

Prime factors of 42564 are 2, 3, 3547. Prime factorization of 42564 in exponential form is:

42564 = 2² × 3¹ × 3547¹

Step-2: Prime Factorization of 42580

Prime factors of 42580 are 2, 5, 2129. Prime factorization of 42580 in exponential form is:

42580 = 2² × 5¹ × 2129¹

Step-3: Factors of 42564

List of positive integer factors of 42564 that divides 42564 without a remainder.

1, 2, 3, 4, 6, 12, 3547, 7094, 10641, 14188, 21282

Step-4: Factors of 42580

List of positive integer factors of 42580 that divides 42564 without a remainder.

1, 2, 4, 5, 10, 20, 2129, 4258, 8516, 10645, 21290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42564 and 42580. The biggest common factor number is the GCF number.
So the greatest common factor 42564 and 42580 is 4.

Also check out the Least Common Multiple of 42564 and 42580