What is the Greatest Common Factor of 50554 and 50564?

Greatest common factor (GCF) of 50554 and 50564 is 2.

GCF(50554,50564) = 2

We will now calculate the prime factors of 50554 and 50564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50554 and 50564.

How to find the GCF of 50554 and 50564?

We will first find the prime factorization of 50554 and 50564. After we will calculate the factors of 50554 and 50564 and find the biggest common factor number .

Step-1: Prime Factorization of 50554

Prime factors of 50554 are 2, 7, 23, 157. Prime factorization of 50554 in exponential form is:

50554 = 2¹ × 7¹ × 23¹ × 157¹

Step-2: Prime Factorization of 50564

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

50564 = 2² × 12641¹

Step-3: Factors of 50554

List of positive integer factors of 50554 that divides 50554 without a remainder.

1, 2, 7, 14, 23, 46, 157, 161, 314, 322, 1099, 2198, 3611, 7222, 25277

Step-4: Factors of 50564

List of positive integer factors of 50564 that divides 50554 without a remainder.

1, 2, 4, 12641, 25282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50554 and 50564. The biggest common factor number is the GCF number.
So the greatest common factor 50554 and 50564 is 2.

Also check out the Least Common Multiple of 50554 and 50564