What is the Greatest Common Factor of 61176 and 61188?

Greatest common factor (GCF) of 61176 and 61188 is 12.

GCF(61176,61188) = 12

We will now calculate the prime factors of 61176 and 61188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61176 and 61188.

How to find the GCF of 61176 and 61188?

We will first find the prime factorization of 61176 and 61188. After we will calculate the factors of 61176 and 61188 and find the biggest common factor number .

Step-1: Prime Factorization of 61176

Prime factors of 61176 are 2, 3, 2549. Prime factorization of 61176 in exponential form is:

61176 = 2³ × 3¹ × 2549¹

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 61176

List of positive integer factors of 61176 that divides 61176 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2549, 5098, 7647, 10196, 15294, 20392, 30588

Step-4: Factors of 61188

List of positive integer factors of 61188 that divides 61176 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 61176 and 61188. The biggest common factor number is the GCF number.
So the greatest common factor 61176 and 61188 is 12.

Also check out the Least Common Multiple of 61176 and 61188