What is the Greatest Common Factor of 61149 and 61166?

Greatest common factor (GCF) of 61149 and 61166 is 17.

GCF(61149,61166) = 17

We will now calculate the prime factors of 61149 and 61166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61149 and 61166.

How to find the GCF of 61149 and 61166?

We will first find the prime factorization of 61149 and 61166. After we will calculate the factors of 61149 and 61166 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61166

Prime factors of 61166 are 2, 7, 17, 257. Prime factorization of 61166 in exponential form is:

61166 = 2¹ × 7¹ × 17¹ × 257¹

Step-3: Factors of 61149

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

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

Step-4: Factors of 61166

List of positive integer factors of 61166 that divides 61149 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 257, 514, 1799, 3598, 4369, 8738, 30583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61149 and 61166. The biggest common factor number is the GCF number.
So the greatest common factor 61149 and 61166 is 17.

Also check out the Least Common Multiple of 61149 and 61166