What is the Greatest Common Factor of 50080 and 50100?

Greatest common factor (GCF) of 50080 and 50100 is 20.

GCF(50080,50100) = 20

We will now calculate the prime factors of 50080 and 50100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50080 and 50100.

How to find the GCF of 50080 and 50100?

We will first find the prime factorization of 50080 and 50100. After we will calculate the factors of 50080 and 50100 and find the biggest common factor number .

Step-1: Prime Factorization of 50080

Prime factors of 50080 are 2, 5, 313. Prime factorization of 50080 in exponential form is:

50080 = 2⁵ × 5¹ × 313¹

Step-2: 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-3: Factors of 50080

List of positive integer factors of 50080 that divides 50080 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 313, 626, 1252, 1565, 2504, 3130, 5008, 6260, 10016, 12520, 25040

Step-4: Factors of 50100

List of positive integer factors of 50100 that divides 50080 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50080 and 50100. The biggest common factor number is the GCF number.
So the greatest common factor 50080 and 50100 is 20.

Also check out the Least Common Multiple of 50080 and 50100