What is the Greatest Common Factor of 50125 and 50144?

Greatest common factor (GCF) of 50125 and 50144 is 1.

GCF(50125,50144) = 1

We will now calculate the prime factors of 50125 and 50144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50125 and 50144.

How to find the GCF of 50125 and 50144?

We will first find the prime factorization of 50125 and 50144. After we will calculate the factors of 50125 and 50144 and find the biggest common factor number .

Step-1: Prime Factorization of 50125

Prime factors of 50125 are 5, 401. Prime factorization of 50125 in exponential form is:

50125 = 5³ × 401¹

Step-2: Prime Factorization of 50144

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

50144 = 2⁵ × 1567¹

Step-3: Factors of 50125

List of positive integer factors of 50125 that divides 50125 without a remainder.

1, 5, 25, 125, 401, 2005, 10025

Step-4: Factors of 50144

List of positive integer factors of 50144 that divides 50125 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50125 and 50144. The biggest common factor number is the GCF number.
So the greatest common factor 50125 and 50144 is 1.

Also check out the Least Common Multiple of 50125 and 50144