What is the Greatest Common Factor of 74165 and 74178?

Greatest common factor (GCF) of 74165 and 74178 is 13.

GCF(74165,74178) = 13

We will now calculate the prime factors of 74165 and 74178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74165 and 74178.

How to find the GCF of 74165 and 74178?

We will first find the prime factorization of 74165 and 74178. After we will calculate the factors of 74165 and 74178 and find the biggest common factor number .

Step-1: Prime Factorization of 74165

Prime factors of 74165 are 5, 7, 13, 163. Prime factorization of 74165 in exponential form is:

74165 = 5¹ × 7¹ × 13¹ × 163¹

Step-2: 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-3: Factors of 74165

List of positive integer factors of 74165 that divides 74165 without a remainder.

1, 5, 7, 13, 35, 65, 91, 163, 455, 815, 1141, 2119, 5705, 10595, 14833

Step-4: Factors of 74178

List of positive integer factors of 74178 that divides 74165 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74165 and 74178. The biggest common factor number is the GCF number.
So the greatest common factor 74165 and 74178 is 13.

Also check out the Least Common Multiple of 74165 and 74178