What is the Greatest Common Factor of 61168 and 61178?

Greatest common factor (GCF) of 61168 and 61178 is 2.

GCF(61168,61178) = 2

We will now calculate the prime factors of 61168 and 61178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61168 and 61178.

How to find the GCF of 61168 and 61178?

We will first find the prime factorization of 61168 and 61178. After we will calculate the factors of 61168 and 61178 and find the biggest common factor number .

Step-1: Prime Factorization of 61168

Prime factors of 61168 are 2, 3823. Prime factorization of 61168 in exponential form is:

61168 = 2⁴ × 3823¹

Step-2: 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-3: Factors of 61168

List of positive integer factors of 61168 that divides 61168 without a remainder.

1, 2, 4, 8, 16, 3823, 7646, 15292, 30584

Step-4: Factors of 61178

List of positive integer factors of 61178 that divides 61168 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61168 and 61178. The biggest common factor number is the GCF number.
So the greatest common factor 61168 and 61178 is 2.

Also check out the Least Common Multiple of 61168 and 61178