What is the Greatest Common Factor of 61125 and 61142?

Greatest common factor (GCF) of 61125 and 61142 is 1.

GCF(61125,61142) = 1

We will now calculate the prime factors of 61125 and 61142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61125 and 61142.

How to find the GCF of 61125 and 61142?

We will first find the prime factorization of 61125 and 61142. After we will calculate the factors of 61125 and 61142 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 61142

Prime factors of 61142 are 2, 19, 1609. Prime factorization of 61142 in exponential form is:

61142 = 2¹ × 19¹ × 1609¹

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 61142

List of positive integer factors of 61142 that divides 61125 without a remainder.

1, 2, 19, 38, 1609, 3218, 30571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61125 and 61142. The biggest common factor number is the GCF number.
So the greatest common factor 61125 and 61142 is 1.

Also check out the Least Common Multiple of 61125 and 61142