What is the Greatest Common Factor of 50167 and 50180?

Greatest common factor (GCF) of 50167 and 50180 is 13.

GCF(50167,50180) = 13

We will now calculate the prime factors of 50167 and 50180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50167 and 50180.

How to find the GCF of 50167 and 50180?

We will first find the prime factorization of 50167 and 50180. After we will calculate the factors of 50167 and 50180 and find the biggest common factor number .

Step-1: Prime Factorization of 50167

Prime factors of 50167 are 13, 17, 227. Prime factorization of 50167 in exponential form is:

50167 = 13¹ × 17¹ × 227¹

Step-2: Prime Factorization of 50180

Prime factors of 50180 are 2, 5, 13, 193. Prime factorization of 50180 in exponential form is:

50180 = 2² × 5¹ × 13¹ × 193¹

Step-3: Factors of 50167

List of positive integer factors of 50167 that divides 50167 without a remainder.

1, 13, 17, 221, 227, 2951, 3859

Step-4: Factors of 50180

List of positive integer factors of 50180 that divides 50167 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 193, 260, 386, 772, 965, 1930, 2509, 3860, 5018, 10036, 12545, 25090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50167 and 50180. The biggest common factor number is the GCF number.
So the greatest common factor 50167 and 50180 is 13.

Also check out the Least Common Multiple of 50167 and 50180