What is the Greatest Common Factor of 74178 and 74191?

Greatest common factor (GCF) of 74178 and 74191 is 13.

GCF(74178,74191) = 13

We will now calculate the prime factors of 74178 and 74191, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74178 and 74191.

How to find the GCF of 74178 and 74191?

We will first find the prime factorization of 74178 and 74191. After we will calculate the factors of 74178 and 74191 and find the biggest common factor number .

Step-1: Prime Factorization of 74178

Prime factors of 74178 are 2, 3, 13, 317. Prime factorization of 74178 in exponential form is:

74178 = 2¹ × 3² × 13¹ × 317¹

Step-2: Prime Factorization of 74191

Prime factors of 74191 are 13, 439. Prime factorization of 74191 in exponential form is:

74191 = 13² × 439¹

Step-3: Factors of 74178

List of positive integer factors of 74178 that divides 74178 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 317, 634, 951, 1902, 2853, 4121, 5706, 8242, 12363, 24726, 37089

Step-4: Factors of 74191

List of positive integer factors of 74191 that divides 74178 without a remainder.

1, 13, 169, 439, 5707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74178 and 74191. The biggest common factor number is the GCF number.
So the greatest common factor 74178 and 74191 is 13.

Also check out the Least Common Multiple of 74178 and 74191