What is the Greatest Common Factor of 50552 and 50564?

Greatest common factor (GCF) of 50552 and 50564 is 4.

GCF(50552,50564) = 4

We will now calculate the prime factors of 50552 and 50564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50552 and 50564.

How to find the GCF of 50552 and 50564?

We will first find the prime factorization of 50552 and 50564. After we will calculate the factors of 50552 and 50564 and find the biggest common factor number .

Step-1: Prime Factorization of 50552

Prime factors of 50552 are 2, 71, 89. Prime factorization of 50552 in exponential form is:

50552 = 2³ × 71¹ × 89¹

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 50552

List of positive integer factors of 50552 that divides 50552 without a remainder.

1, 2, 4, 8, 71, 89, 142, 178, 284, 356, 568, 712, 6319, 12638, 25276

Step-4: Factors of 50564

List of positive integer factors of 50564 that divides 50552 without a remainder.

1, 2, 4, 12641, 25282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50552 and 50564. The biggest common factor number is the GCF number.
So the greatest common factor 50552 and 50564 is 4.

Also check out the Least Common Multiple of 50552 and 50564