What is the Greatest Common Factor of 50174 and 50182?

Greatest common factor (GCF) of 50174 and 50182 is 2.

GCF(50174,50182) = 2

We will now calculate the prime factors of 50174 and 50182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50174 and 50182.

How to find the GCF of 50174 and 50182?

We will first find the prime factorization of 50174 and 50182. After we will calculate the factors of 50174 and 50182 and find the biggest common factor number .

Step-1: Prime Factorization of 50174

Prime factors of 50174 are 2, 25087. Prime factorization of 50174 in exponential form is:

50174 = 2¹ × 25087¹

Step-2: Prime Factorization of 50182

Prime factors of 50182 are 2, 11, 2281. Prime factorization of 50182 in exponential form is:

50182 = 2¹ × 11¹ × 2281¹

Step-3: Factors of 50174

List of positive integer factors of 50174 that divides 50174 without a remainder.

1, 2, 25087

Step-4: Factors of 50182

List of positive integer factors of 50182 that divides 50174 without a remainder.

1, 2, 11, 22, 2281, 4562, 25091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50174 and 50182. The biggest common factor number is the GCF number.
So the greatest common factor 50174 and 50182 is 2.

Also check out the Least Common Multiple of 50174 and 50182