What is the Greatest Common Factor of 50144 and 50157?

Greatest common factor (GCF) of 50144 and 50157 is 1.

GCF(50144,50157) = 1

We will now calculate the prime factors of 50144 and 50157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50144 and 50157.

How to find the GCF of 50144 and 50157?

We will first find the prime factorization of 50144 and 50157. After we will calculate the factors of 50144 and 50157 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 50157

Prime factors of 50157 are 3, 5573. Prime factorization of 50157 in exponential form is:

50157 = 3² × 5573¹

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 50157

List of positive integer factors of 50157 that divides 50144 without a remainder.

1, 3, 9, 5573, 16719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50144 and 50157. The biggest common factor number is the GCF number.
So the greatest common factor 50144 and 50157 is 1.

Also check out the Least Common Multiple of 50144 and 50157