What is the Greatest Common Factor of 76172 and 76178?

Greatest common factor (GCF) of 76172 and 76178 is 2.

GCF(76172,76178) = 2

We will now calculate the prime factors of 76172 and 76178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76172 and 76178.

How to find the GCF of 76172 and 76178?

We will first find the prime factorization of 76172 and 76178. After we will calculate the factors of 76172 and 76178 and find the biggest common factor number .

Step-1: Prime Factorization of 76172

Prime factors of 76172 are 2, 137, 139. Prime factorization of 76172 in exponential form is:

76172 = 2² × 137¹ × 139¹

Step-2: Prime Factorization of 76178

Prime factors of 76178 are 2, 41, 929. Prime factorization of 76178 in exponential form is:

76178 = 2¹ × 41¹ × 929¹

Step-3: Factors of 76172

List of positive integer factors of 76172 that divides 76172 without a remainder.

1, 2, 4, 137, 139, 274, 278, 548, 556, 19043, 38086

Step-4: Factors of 76178

List of positive integer factors of 76178 that divides 76172 without a remainder.

1, 2, 41, 82, 929, 1858, 38089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76172 and 76178. The biggest common factor number is the GCF number.
So the greatest common factor 76172 and 76178 is 2.

Also check out the Least Common Multiple of 76172 and 76178