What is the Greatest Common Factor of 50100 and 50107?

Greatest common factor (GCF) of 50100 and 50107 is 1.

GCF(50100,50107) = 1

We will now calculate the prime factors of 50100 and 50107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50100 and 50107.

How to find the GCF of 50100 and 50107?

We will first find the prime factorization of 50100 and 50107. After we will calculate the factors of 50100 and 50107 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 50107

Prime factors of 50107 are 89, 563. Prime factorization of 50107 in exponential form is:

50107 = 89¹ × 563¹

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 50107

List of positive integer factors of 50107 that divides 50100 without a remainder.

1, 89, 563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50100 and 50107. The biggest common factor number is the GCF number.
So the greatest common factor 50100 and 50107 is 1.

Also check out the Least Common Multiple of 50100 and 50107