What is the Greatest Common Factor of 50374 and 50380?

Greatest common factor (GCF) of 50374 and 50380 is 2.

GCF(50374,50380) = 2

We will now calculate the prime factors of 50374 and 50380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50374 and 50380.

How to find the GCF of 50374 and 50380?

We will first find the prime factorization of 50374 and 50380. After we will calculate the factors of 50374 and 50380 and find the biggest common factor number .

Step-1: Prime Factorization of 50374

Prime factors of 50374 are 2, 89, 283. Prime factorization of 50374 in exponential form is:

50374 = 2¹ × 89¹ × 283¹

Step-2: Prime Factorization of 50380

Prime factors of 50380 are 2, 5, 11, 229. Prime factorization of 50380 in exponential form is:

50380 = 2² × 5¹ × 11¹ × 229¹

Step-3: Factors of 50374

List of positive integer factors of 50374 that divides 50374 without a remainder.

1, 2, 89, 178, 283, 566, 25187

Step-4: Factors of 50380

List of positive integer factors of 50380 that divides 50374 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 229, 458, 916, 1145, 2290, 2519, 4580, 5038, 10076, 12595, 25190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50374 and 50380. The biggest common factor number is the GCF number.
So the greatest common factor 50374 and 50380 is 2.

Also check out the Least Common Multiple of 50374 and 50380