What is the Greatest Common Factor of 50354 and 50371?

Greatest common factor (GCF) of 50354 and 50371 is 17.

GCF(50354,50371) = 17

We will now calculate the prime factors of 50354 and 50371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50354 and 50371.

How to find the GCF of 50354 and 50371?

We will first find the prime factorization of 50354 and 50371. After we will calculate the factors of 50354 and 50371 and find the biggest common factor number .

Step-1: Prime Factorization of 50354

Prime factors of 50354 are 2, 17, 1481. Prime factorization of 50354 in exponential form is:

50354 = 2¹ × 17¹ × 1481¹

Step-2: Prime Factorization of 50371

Prime factors of 50371 are 17, 2963. Prime factorization of 50371 in exponential form is:

50371 = 17¹ × 2963¹

Step-3: Factors of 50354

List of positive integer factors of 50354 that divides 50354 without a remainder.

1, 2, 17, 34, 1481, 2962, 25177

Step-4: Factors of 50371

List of positive integer factors of 50371 that divides 50354 without a remainder.

1, 17, 2963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50354 and 50371. The biggest common factor number is the GCF number.
So the greatest common factor 50354 and 50371 is 17.

Also check out the Least Common Multiple of 50354 and 50371