What is the Greatest Common Factor of 50144 and 50158?

Greatest common factor (GCF) of 50144 and 50158 is 2.

GCF(50144,50158) = 2

We will now calculate the prime factors of 50144 and 50158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50144 and 50158.

How to find the GCF of 50144 and 50158?

We will first find the prime factorization of 50144 and 50158. After we will calculate the factors of 50144 and 50158 and find the biggest common factor number .

Step-1: Prime Factorization of 50144

Prime factors of 50144 are 2, 1567. Prime factorization of 50144 in exponential form is:

50144 = 2⁵ × 1567¹

Step-2: Prime Factorization of 50158

Prime factors of 50158 are 2, 31, 809. Prime factorization of 50158 in exponential form is:

50158 = 2¹ × 31¹ × 809¹

Step-3: Factors of 50144

List of positive integer factors of 50144 that divides 50144 without a remainder.

1, 2, 4, 8, 16, 32, 1567, 3134, 6268, 12536, 25072

Step-4: Factors of 50158

List of positive integer factors of 50158 that divides 50144 without a remainder.

1, 2, 31, 62, 809, 1618, 25079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50144 and 50158. The biggest common factor number is the GCF number.
So the greatest common factor 50144 and 50158 is 2.

Also check out the Least Common Multiple of 50144 and 50158