What is the Greatest Common Factor of 41564 and 41568?

Greatest common factor (GCF) of 41564 and 41568 is 4.

GCF(41564,41568) = 4

We will now calculate the prime factors of 41564 and 41568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41564 and 41568.

How to find the GCF of 41564 and 41568?

We will first find the prime factorization of 41564 and 41568. After we will calculate the factors of 41564 and 41568 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 41568

Prime factors of 41568 are 2, 3, 433. Prime factorization of 41568 in exponential form is:

41568 = 2⁵ × 3¹ × 433¹

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 41568

List of positive integer factors of 41568 that divides 41564 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 433, 866, 1299, 1732, 2598, 3464, 5196, 6928, 10392, 13856, 20784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41564 and 41568. The biggest common factor number is the GCF number.
So the greatest common factor 41564 and 41568 is 4.

Also check out the Least Common Multiple of 41564 and 41568