What is the Greatest Common Factor of 50564 and 50576?

Greatest common factor (GCF) of 50564 and 50576 is 4.

GCF(50564,50576) = 4

We will now calculate the prime factors of 50564 and 50576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50564 and 50576.

How to find the GCF of 50564 and 50576?

We will first find the prime factorization of 50564 and 50576. After we will calculate the factors of 50564 and 50576 and find the biggest common factor number .

Step-1: Prime Factorization of 50564

Prime factors of 50564 are 2, 12641. Prime factorization of 50564 in exponential form is:

50564 = 2² × 12641¹

Step-2: Prime Factorization of 50576

Prime factors of 50576 are 2, 29, 109. Prime factorization of 50576 in exponential form is:

50576 = 2⁴ × 29¹ × 109¹

Step-3: Factors of 50564

List of positive integer factors of 50564 that divides 50564 without a remainder.

1, 2, 4, 12641, 25282

Step-4: Factors of 50576

List of positive integer factors of 50576 that divides 50564 without a remainder.

1, 2, 4, 8, 16, 29, 58, 109, 116, 218, 232, 436, 464, 872, 1744, 3161, 6322, 12644, 25288

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50564 and 50576. The biggest common factor number is the GCF number.
So the greatest common factor 50564 and 50576 is 4.

Also check out the Least Common Multiple of 50564 and 50576