What is the Greatest Common Factor of 5109 and 5125?

Greatest common factor (GCF) of 5109 and 5125 is 1.

GCF(5109,5125) = 1

We will now calculate the prime factors of 5109 and 5125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5109 and 5125.

How to find the GCF of 5109 and 5125?

We will first find the prime factorization of 5109 and 5125. After we will calculate the factors of 5109 and 5125 and find the biggest common factor number .

Step-1: Prime Factorization of 5109

Prime factors of 5109 are 3, 13, 131. Prime factorization of 5109 in exponential form is:

5109 = 3¹ × 13¹ × 131¹

Step-2: Prime Factorization of 5125

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

5125 = 5³ × 41¹

Step-3: Factors of 5109

List of positive integer factors of 5109 that divides 5109 without a remainder.

1, 3, 13, 39, 131, 393, 1703

Step-4: Factors of 5125

List of positive integer factors of 5125 that divides 5109 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5109 and 5125. The biggest common factor number is the GCF number.
So the greatest common factor 5109 and 5125 is 1.

Also check out the Least Common Multiple of 5109 and 5125