What is the Greatest Common Factor of 50180 and 50198?

Greatest common factor (GCF) of 50180 and 50198 is 2.

GCF(50180,50198) = 2

We will now calculate the prime factors of 50180 and 50198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50180 and 50198.

How to find the GCF of 50180 and 50198?

We will first find the prime factorization of 50180 and 50198. After we will calculate the factors of 50180 and 50198 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 50198

Prime factors of 50198 are 2, 19, 1321. Prime factorization of 50198 in exponential form is:

50198 = 2¹ × 19¹ × 1321¹

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 50198

List of positive integer factors of 50198 that divides 50180 without a remainder.

1, 2, 19, 38, 1321, 2642, 25099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50180 and 50198. The biggest common factor number is the GCF number.
So the greatest common factor 50180 and 50198 is 2.

Also check out the Least Common Multiple of 50180 and 50198