What is the Greatest Common Factor of 76174 and 76188?

Greatest common factor (GCF) of 76174 and 76188 is 14.

GCF(76174,76188) = 14

We will now calculate the prime factors of 76174 and 76188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76174 and 76188.

How to find the GCF of 76174 and 76188?

We will first find the prime factorization of 76174 and 76188. After we will calculate the factors of 76174 and 76188 and find the biggest common factor number .

Step-1: Prime Factorization of 76174

Prime factors of 76174 are 2, 7, 5441. Prime factorization of 76174 in exponential form is:

76174 = 2¹ × 7¹ × 5441¹

Step-2: Prime Factorization of 76188

Prime factors of 76188 are 2, 3, 7, 907. Prime factorization of 76188 in exponential form is:

76188 = 2² × 3¹ × 7¹ × 907¹

Step-3: Factors of 76174

List of positive integer factors of 76174 that divides 76174 without a remainder.

1, 2, 7, 14, 5441, 10882, 38087

Step-4: Factors of 76188

List of positive integer factors of 76188 that divides 76174 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 907, 1814, 2721, 3628, 5442, 6349, 10884, 12698, 19047, 25396, 38094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76174 and 76188. The biggest common factor number is the GCF number.
So the greatest common factor 76174 and 76188 is 14.

Also check out the Least Common Multiple of 76174 and 76188