What is the Greatest Common Factor of 50126 and 50130?

Greatest common factor (GCF) of 50126 and 50130 is 2.

GCF(50126,50130) = 2

We will now calculate the prime factors of 50126 and 50130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50126 and 50130.

How to find the GCF of 50126 and 50130?

We will first find the prime factorization of 50126 and 50130. After we will calculate the factors of 50126 and 50130 and find the biggest common factor number .

Step-1: Prime Factorization of 50126

Prime factors of 50126 are 2, 71, 353. Prime factorization of 50126 in exponential form is:

50126 = 2¹ × 71¹ × 353¹

Step-2: Prime Factorization of 50130

Prime factors of 50130 are 2, 3, 5, 557. Prime factorization of 50130 in exponential form is:

50130 = 2¹ × 3² × 5¹ × 557¹

Step-3: Factors of 50126

List of positive integer factors of 50126 that divides 50126 without a remainder.

1, 2, 71, 142, 353, 706, 25063

Step-4: Factors of 50130

List of positive integer factors of 50130 that divides 50126 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 557, 1114, 1671, 2785, 3342, 5013, 5570, 8355, 10026, 16710, 25065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50126 and 50130. The biggest common factor number is the GCF number.
So the greatest common factor 50126 and 50130 is 2.

Also check out the Least Common Multiple of 50126 and 50130