What is the Greatest Common Factor of 61125 and 61141?

Greatest common factor (GCF) of 61125 and 61141 is 1.

GCF(61125,61141) = 1

We will now calculate the prime factors of 61125 and 61141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61125 and 61141.

How to find the GCF of 61125 and 61141?

We will first find the prime factorization of 61125 and 61141. After we will calculate the factors of 61125 and 61141 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 61141

Prime factors of 61141 are 61141. Prime factorization of 61141 in exponential form is:

61141 = 61141¹

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 61141

List of positive integer factors of 61141 that divides 61125 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61125 and 61141. The biggest common factor number is the GCF number.
So the greatest common factor 61125 and 61141 is 1.

Also check out the Least Common Multiple of 61125 and 61141