What is the Greatest Common Factor of 50180 and 50185?

Greatest common factor (GCF) of 50180 and 50185 is 5.

GCF(50180,50185) = 5

We will now calculate the prime factors of 50180 and 50185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50180 and 50185.

How to find the GCF of 50180 and 50185?

We will first find the prime factorization of 50180 and 50185. After we will calculate the factors of 50180 and 50185 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50185

Prime factors of 50185 are 5, 10037. Prime factorization of 50185 in exponential form is:

50185 = 5¹ × 10037¹

Step-3: Factors of 50180

List of positive integer factors of 50180 that divides 50180 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

Step-4: Factors of 50185

List of positive integer factors of 50185 that divides 50180 without a remainder.

1, 5, 10037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50180 and 50185. The biggest common factor number is the GCF number.
So the greatest common factor 50180 and 50185 is 5.

Also check out the Least Common Multiple of 50180 and 50185