What is the Greatest Common Factor of 61134 and 61143?

Greatest common factor (GCF) of 61134 and 61143 is 3.

GCF(61134,61143) = 3

We will now calculate the prime factors of 61134 and 61143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61134 and 61143.

How to find the GCF of 61134 and 61143?

We will first find the prime factorization of 61134 and 61143. After we will calculate the factors of 61134 and 61143 and find the biggest common factor number .

Step-1: Prime Factorization of 61134

Prime factors of 61134 are 2, 3, 23, 443. Prime factorization of 61134 in exponential form is:

61134 = 2¹ × 3¹ × 23¹ × 443¹

Step-2: Prime Factorization of 61143

Prime factors of 61143 are 3, 89, 229. Prime factorization of 61143 in exponential form is:

61143 = 3¹ × 89¹ × 229¹

Step-3: Factors of 61134

List of positive integer factors of 61134 that divides 61134 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 443, 886, 1329, 2658, 10189, 20378, 30567

Step-4: Factors of 61143

List of positive integer factors of 61143 that divides 61134 without a remainder.

1, 3, 89, 229, 267, 687, 20381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61134 and 61143. The biggest common factor number is the GCF number.
So the greatest common factor 61134 and 61143 is 3.

Also check out the Least Common Multiple of 61134 and 61143