What is the Greatest Common Factor of 50100 and 50113?

Greatest common factor (GCF) of 50100 and 50113 is 1.

GCF(50100,50113) = 1

We will now calculate the prime factors of 50100 and 50113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50100 and 50113.

How to find the GCF of 50100 and 50113?

We will first find the prime factorization of 50100 and 50113. After we will calculate the factors of 50100 and 50113 and find the biggest common factor number .

Step-1: Prime Factorization of 50100

Prime factors of 50100 are 2, 3, 5, 167. Prime factorization of 50100 in exponential form is:

50100 = 2² × 3¹ × 5² × 167¹

Step-2: Prime Factorization of 50113

Prime factors of 50113 are 7, 7159. Prime factorization of 50113 in exponential form is:

50113 = 7¹ × 7159¹

Step-3: Factors of 50100

List of positive integer factors of 50100 that divides 50100 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 167, 300, 334, 501, 668, 835, 1002, 1670, 2004, 2505, 3340, 4175, 5010, 8350, 10020, 12525, 16700, 25050

Step-4: Factors of 50113

List of positive integer factors of 50113 that divides 50100 without a remainder.

1, 7, 7159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50100 and 50113. The biggest common factor number is the GCF number.
So the greatest common factor 50100 and 50113 is 1.

Also check out the Least Common Multiple of 50100 and 50113