What is the Greatest Common Factor of 61178 and 61188?

Greatest common factor (GCF) of 61178 and 61188 is 2.

GCF(61178,61188) = 2

We will now calculate the prime factors of 61178 and 61188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61178 and 61188.

How to find the GCF of 61178 and 61188?

We will first find the prime factorization of 61178 and 61188. After we will calculate the factors of 61178 and 61188 and find the biggest common factor number .

Step-1: Prime Factorization of 61178

Prime factors of 61178 are 2, 13, 181. Prime factorization of 61178 in exponential form is:

61178 = 2¹ × 13² × 181¹

Step-2: Prime Factorization of 61188

Prime factors of 61188 are 2, 3, 5099. Prime factorization of 61188 in exponential form is:

61188 = 2² × 3¹ × 5099¹

Step-3: Factors of 61178

List of positive integer factors of 61178 that divides 61178 without a remainder.

1, 2, 13, 26, 169, 181, 338, 362, 2353, 4706, 30589

Step-4: Factors of 61188

List of positive integer factors of 61188 that divides 61178 without a remainder.

1, 2, 3, 4, 6, 12, 5099, 10198, 15297, 20396, 30594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61178 and 61188. The biggest common factor number is the GCF number.
So the greatest common factor 61178 and 61188 is 2.

Also check out the Least Common Multiple of 61178 and 61188