What is the Greatest Common Factor of 61125 and 61129?

Greatest common factor (GCF) of 61125 and 61129 is 1.

GCF(61125,61129) = 1

We will now calculate the prime factors of 61125 and 61129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61125 and 61129.

How to find the GCF of 61125 and 61129?

We will first find the prime factorization of 61125 and 61129. After we will calculate the factors of 61125 and 61129 and find the biggest common factor number .

Step-1: Prime Factorization of 61125

Prime factors of 61125 are 3, 5, 163. Prime factorization of 61125 in exponential form is:

61125 = 3¹ × 5³ × 163¹

Step-2: Prime Factorization of 61129

Prime factors of 61129 are 61129. Prime factorization of 61129 in exponential form is:

61129 = 61129¹

Step-3: Factors of 61125

List of positive integer factors of 61125 that divides 61125 without a remainder.

1, 3, 5, 15, 25, 75, 125, 163, 375, 489, 815, 2445, 4075, 12225, 20375

Step-4: Factors of 61129

List of positive integer factors of 61129 that divides 61125 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61125 and 61129. The biggest common factor number is the GCF number.
So the greatest common factor 61125 and 61129 is 1.

Also check out the Least Common Multiple of 61125 and 61129