What is the Greatest Common Factor of 40564 and 40576?

Greatest common factor (GCF) of 40564 and 40576 is 4.

GCF(40564,40576) = 4

We will now calculate the prime factors of 40564 and 40576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40564 and 40576.

How to find the GCF of 40564 and 40576?

We will first find the prime factorization of 40564 and 40576. After we will calculate the factors of 40564 and 40576 and find the biggest common factor number .

Step-1: Prime Factorization of 40564

Prime factors of 40564 are 2, 10141. Prime factorization of 40564 in exponential form is:

40564 = 2² × 10141¹

Step-2: Prime Factorization of 40576

Prime factors of 40576 are 2, 317. Prime factorization of 40576 in exponential form is:

40576 = 2⁷ × 317¹

Step-3: Factors of 40564

List of positive integer factors of 40564 that divides 40564 without a remainder.

1, 2, 4, 10141, 20282

Step-4: Factors of 40576

List of positive integer factors of 40576 that divides 40564 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 317, 634, 1268, 2536, 5072, 10144, 20288

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40564 and 40576. The biggest common factor number is the GCF number.
So the greatest common factor 40564 and 40576 is 4.

Also check out the Least Common Multiple of 40564 and 40576