What is the Greatest Common Factor of 4125 and 4129?

Greatest common factor (GCF) of 4125 and 4129 is 1.

GCF(4125,4129) = 1

We will now calculate the prime factors of 4125 and 4129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4125 and 4129.

How to find the GCF of 4125 and 4129?

We will first find the prime factorization of 4125 and 4129. After we will calculate the factors of 4125 and 4129 and find the biggest common factor number .

Step-1: Prime Factorization of 4125

Prime factors of 4125 are 3, 5, 11. Prime factorization of 4125 in exponential form is:

4125 = 3¹ × 5³ × 11¹

Step-2: Prime Factorization of 4129

Prime factors of 4129 are 4129. Prime factorization of 4129 in exponential form is:

4129 = 4129¹

Step-3: Factors of 4125

List of positive integer factors of 4125 that divides 4125 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 125, 165, 275, 375, 825, 1375

Step-4: Factors of 4129

List of positive integer factors of 4129 that divides 4125 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4125 and 4129. The biggest common factor number is the GCF number.
So the greatest common factor 4125 and 4129 is 1.

Also check out the Least Common Multiple of 4125 and 4129