What is the Greatest Common Factor of 50180 and 50192?

Greatest common factor (GCF) of 50180 and 50192 is 4.

GCF(50180,50192) = 4

We will now calculate the prime factors of 50180 and 50192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50180 and 50192.

How to find the GCF of 50180 and 50192?

We will first find the prime factorization of 50180 and 50192. After we will calculate the factors of 50180 and 50192 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 50192

Prime factors of 50192 are 2, 3137. Prime factorization of 50192 in exponential form is:

50192 = 2⁴ × 3137¹

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 50192

List of positive integer factors of 50192 that divides 50180 without a remainder.

1, 2, 4, 8, 16, 3137, 6274, 12548, 25096

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50180 and 50192. The biggest common factor number is the GCF number.
So the greatest common factor 50180 and 50192 is 4.

Also check out the Least Common Multiple of 50180 and 50192