What is the Greatest Common Factor of 74174 and 74178?

Greatest common factor (GCF) of 74174 and 74178 is 2.

GCF(74174,74178) = 2

We will now calculate the prime factors of 74174 and 74178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74174 and 74178.

How to find the GCF of 74174 and 74178?

We will first find the prime factorization of 74174 and 74178. After we will calculate the factors of 74174 and 74178 and find the biggest common factor number .

Step-1: Prime Factorization of 74174

Prime factors of 74174 are 2, 37087. Prime factorization of 74174 in exponential form is:

74174 = 2¹ × 37087¹

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 74174

List of positive integer factors of 74174 that divides 74174 without a remainder.

1, 2, 37087

Step-4: Factors of 74178

List of positive integer factors of 74178 that divides 74174 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 74174 and 74178. The biggest common factor number is the GCF number.
So the greatest common factor 74174 and 74178 is 2.

Also check out the Least Common Multiple of 74174 and 74178