What is the Greatest Common Factor of 61158 and 61173?

Greatest common factor (GCF) of 61158 and 61173 is 3.

GCF(61158,61173) = 3

We will now calculate the prime factors of 61158 and 61173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61158 and 61173.

How to find the GCF of 61158 and 61173?

We will first find the prime factorization of 61158 and 61173. After we will calculate the factors of 61158 and 61173 and find the biggest common factor number .

Step-1: Prime Factorization of 61158

Prime factors of 61158 are 2, 3, 10193. Prime factorization of 61158 in exponential form is:

61158 = 2¹ × 3¹ × 10193¹

Step-2: Prime Factorization of 61173

Prime factors of 61173 are 3, 7, 971. Prime factorization of 61173 in exponential form is:

61173 = 3² × 7¹ × 971¹

Step-3: Factors of 61158

List of positive integer factors of 61158 that divides 61158 without a remainder.

1, 2, 3, 6, 10193, 20386, 30579

Step-4: Factors of 61173

List of positive integer factors of 61173 that divides 61158 without a remainder.

1, 3, 7, 9, 21, 63, 971, 2913, 6797, 8739, 20391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61158 and 61173. The biggest common factor number is the GCF number.
So the greatest common factor 61158 and 61173 is 3.

Also check out the Least Common Multiple of 61158 and 61173