What is the Greatest Common Factor of 61125 and 61130?

Greatest common factor (GCF) of 61125 and 61130 is 5.

GCF(61125,61130) = 5

We will now calculate the prime factors of 61125 and 61130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61125 and 61130.

How to find the GCF of 61125 and 61130?

We will first find the prime factorization of 61125 and 61130. After we will calculate the factors of 61125 and 61130 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 61130

Prime factors of 61130 are 2, 5, 6113. Prime factorization of 61130 in exponential form is:

61130 = 2¹ × 5¹ × 6113¹

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 61130

List of positive integer factors of 61130 that divides 61125 without a remainder.

1, 2, 5, 10, 6113, 12226, 30565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61125 and 61130. The biggest common factor number is the GCF number.
So the greatest common factor 61125 and 61130 is 5.

Also check out the Least Common Multiple of 61125 and 61130