What is the Greatest Common Factor of 74174 and 74187?

Greatest common factor (GCF) of 74174 and 74187 is 1.

GCF(74174,74187) = 1

We will now calculate the prime factors of 74174 and 74187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74174 and 74187.

How to find the GCF of 74174 and 74187?

We will first find the prime factorization of 74174 and 74187. After we will calculate the factors of 74174 and 74187 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 74187

Prime factors of 74187 are 3, 8243. Prime factorization of 74187 in exponential form is:

74187 = 3² × 8243¹

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 74187

List of positive integer factors of 74187 that divides 74174 without a remainder.

1, 3, 9, 8243, 24729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74174 and 74187. The biggest common factor number is the GCF number.
So the greatest common factor 74174 and 74187 is 1.

Also check out the Least Common Multiple of 74174 and 74187