What is the Greatest Common Factor of 50100 and 50120?

Greatest common factor (GCF) of 50100 and 50120 is 20.

GCF(50100,50120) = 20

We will now calculate the prime factors of 50100 and 50120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50100 and 50120.

How to find the GCF of 50100 and 50120?

We will first find the prime factorization of 50100 and 50120. After we will calculate the factors of 50100 and 50120 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 50120

Prime factors of 50120 are 2, 5, 7, 179. Prime factorization of 50120 in exponential form is:

50120 = 2³ × 5¹ × 7¹ × 179¹

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 50120

List of positive integer factors of 50120 that divides 50100 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 179, 280, 358, 716, 895, 1253, 1432, 1790, 2506, 3580, 5012, 6265, 7160, 10024, 12530, 25060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50100 and 50120. The biggest common factor number is the GCF number.
So the greatest common factor 50100 and 50120 is 20.

Also check out the Least Common Multiple of 50100 and 50120