What is the Greatest Common Factor of 41564 and 41572?

Greatest common factor (GCF) of 41564 and 41572 is 4.

GCF(41564,41572) = 4

We will now calculate the prime factors of 41564 and 41572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41564 and 41572.

How to find the GCF of 41564 and 41572?

We will first find the prime factorization of 41564 and 41572. After we will calculate the factors of 41564 and 41572 and find the biggest common factor number .

Step-1: Prime Factorization of 41564

Prime factors of 41564 are 2, 10391. Prime factorization of 41564 in exponential form is:

41564 = 2² × 10391¹

Step-2: Prime Factorization of 41572

Prime factors of 41572 are 2, 19, 547. Prime factorization of 41572 in exponential form is:

41572 = 2² × 19¹ × 547¹

Step-3: Factors of 41564

List of positive integer factors of 41564 that divides 41564 without a remainder.

1, 2, 4, 10391, 20782

Step-4: Factors of 41572

List of positive integer factors of 41572 that divides 41564 without a remainder.

1, 2, 4, 19, 38, 76, 547, 1094, 2188, 10393, 20786

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41564 and 41572. The biggest common factor number is the GCF number.
So the greatest common factor 41564 and 41572 is 4.

Also check out the Least Common Multiple of 41564 and 41572