What is the Greatest Common Factor of 5125 and 5142?

Greatest common factor (GCF) of 5125 and 5142 is 1.

GCF(5125,5142) = 1

We will now calculate the prime factors of 5125 and 5142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5125 and 5142.

How to find the GCF of 5125 and 5142?

We will first find the prime factorization of 5125 and 5142. After we will calculate the factors of 5125 and 5142 and find the biggest common factor number .

Step-1: Prime Factorization of 5125

Prime factors of 5125 are 5, 41. Prime factorization of 5125 in exponential form is:

5125 = 5³ × 41¹

Step-2: Prime Factorization of 5142

Prime factors of 5142 are 2, 3, 857. Prime factorization of 5142 in exponential form is:

5142 = 2¹ × 3¹ × 857¹

Step-3: Factors of 5125

List of positive integer factors of 5125 that divides 5125 without a remainder.

1, 5, 25, 41, 125, 205, 1025

Step-4: Factors of 5142

List of positive integer factors of 5142 that divides 5125 without a remainder.

1, 2, 3, 6, 857, 1714, 2571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5125 and 5142. The biggest common factor number is the GCF number.
So the greatest common factor 5125 and 5142 is 1.

Also check out the Least Common Multiple of 5125 and 5142