What is the Greatest Common Factor of 61134 and 61149?

Greatest common factor (GCF) of 61134 and 61149 is 3.

GCF(61134,61149) = 3

We will now calculate the prime factors of 61134 and 61149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61134 and 61149.

How to find the GCF of 61134 and 61149?

We will first find the prime factorization of 61134 and 61149. After we will calculate the factors of 61134 and 61149 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 61149

Prime factors of 61149 are 3, 11, 17, 109. Prime factorization of 61149 in exponential form is:

61149 = 3¹ × 11¹ × 17¹ × 109¹

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 61149

List of positive integer factors of 61149 that divides 61134 without a remainder.

1, 3, 11, 17, 33, 51, 109, 187, 327, 561, 1199, 1853, 3597, 5559, 20383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61134 and 61149. The biggest common factor number is the GCF number.
So the greatest common factor 61134 and 61149 is 3.

Also check out the Least Common Multiple of 61134 and 61149