What is the Greatest Common Factor of 50574 and 50588?

Greatest common factor (GCF) of 50574 and 50588 is 2.

GCF(50574,50588) = 2

We will now calculate the prime factors of 50574 and 50588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50574 and 50588.

How to find the GCF of 50574 and 50588?

We will first find the prime factorization of 50574 and 50588. After we will calculate the factors of 50574 and 50588 and find the biggest common factor number .

Step-1: Prime Factorization of 50574

Prime factors of 50574 are 2, 3, 8429. Prime factorization of 50574 in exponential form is:

50574 = 2¹ × 3¹ × 8429¹

Step-2: Prime Factorization of 50588

Prime factors of 50588 are 2, 12647. Prime factorization of 50588 in exponential form is:

50588 = 2² × 12647¹

Step-3: Factors of 50574

List of positive integer factors of 50574 that divides 50574 without a remainder.

1, 2, 3, 6, 8429, 16858, 25287

Step-4: Factors of 50588

List of positive integer factors of 50588 that divides 50574 without a remainder.

1, 2, 4, 12647, 25294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50574 and 50588. The biggest common factor number is the GCF number.
So the greatest common factor 50574 and 50588 is 2.

Also check out the Least Common Multiple of 50574 and 50588