What is the Greatest Common Factor of 61166 and 61180?

Greatest common factor (GCF) of 61166 and 61180 is 14.

GCF(61166,61180) = 14

We will now calculate the prime factors of 61166 and 61180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61166 and 61180.

How to find the GCF of 61166 and 61180?

We will first find the prime factorization of 61166 and 61180. After we will calculate the factors of 61166 and 61180 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61180

Prime factors of 61180 are 2, 5, 7, 19, 23. Prime factorization of 61180 in exponential form is:

61180 = 2² × 5¹ × 7¹ × 19¹ × 23¹

Step-3: Factors of 61166

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

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

Step-4: Factors of 61180

List of positive integer factors of 61180 that divides 61166 without a remainder.

1, 2, 4, 5, 7, 10, 14, 19, 20, 23, 28, 35, 38, 46, 70, 76, 92, 95, 115, 133, 140, 161, 190, 230, 266, 322, 380, 437, 460, 532, 644, 665, 805, 874, 1330, 1610, 1748, 2185, 2660, 3059, 3220, 4370, 6118, 8740, 12236, 15295, 30590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61166 and 61180. The biggest common factor number is the GCF number.
So the greatest common factor 61166 and 61180 is 14.

Also check out the Least Common Multiple of 61166 and 61180