What is the Greatest Common Factor of 76174 and 76181?

Greatest common factor (GCF) of 76174 and 76181 is 7.

GCF(76174,76181) = 7

We will now calculate the prime factors of 76174 and 76181, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76174 and 76181.

How to find the GCF of 76174 and 76181?

We will first find the prime factorization of 76174 and 76181. After we will calculate the factors of 76174 and 76181 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 76181

Prime factors of 76181 are 7, 10883. Prime factorization of 76181 in exponential form is:

76181 = 7¹ × 10883¹

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 76181

List of positive integer factors of 76181 that divides 76174 without a remainder.

1, 7, 10883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76174 and 76181. The biggest common factor number is the GCF number.
So the greatest common factor 76174 and 76181 is 7.

Also check out the Least Common Multiple of 76174 and 76181