What is the Greatest Common Factor of 50164 and 50180?

Greatest common factor (GCF) of 50164 and 50180 is 4.

GCF(50164,50180) = 4

We will now calculate the prime factors of 50164 and 50180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50164 and 50180.

How to find the GCF of 50164 and 50180?

We will first find the prime factorization of 50164 and 50180. After we will calculate the factors of 50164 and 50180 and find the biggest common factor number .

Step-1: Prime Factorization of 50164

Prime factors of 50164 are 2, 12541. Prime factorization of 50164 in exponential form is:

50164 = 2² × 12541¹

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 50164

List of positive integer factors of 50164 that divides 50164 without a remainder.

1, 2, 4, 12541, 25082

Step-4: Factors of 50180

List of positive integer factors of 50180 that divides 50164 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 50164 and 50180. The biggest common factor number is the GCF number.
So the greatest common factor 50164 and 50180 is 4.

Also check out the Least Common Multiple of 50164 and 50180