What is the Greatest Common Factor of 50126 and 50132?

Greatest common factor (GCF) of 50126 and 50132 is 2.

GCF(50126,50132) = 2

We will now calculate the prime factors of 50126 and 50132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50126 and 50132.

How to find the GCF of 50126 and 50132?

We will first find the prime factorization of 50126 and 50132. After we will calculate the factors of 50126 and 50132 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 50132

Prime factors of 50132 are 2, 83, 151. Prime factorization of 50132 in exponential form is:

50132 = 2² × 83¹ × 151¹

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 50132

List of positive integer factors of 50132 that divides 50126 without a remainder.

1, 2, 4, 83, 151, 166, 302, 332, 604, 12533, 25066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50126 and 50132. The biggest common factor number is the GCF number.
So the greatest common factor 50126 and 50132 is 2.

Also check out the Least Common Multiple of 50126 and 50132