What is the Greatest Common Factor of 8172 and 8178?

Greatest common factor (GCF) of 8172 and 8178 is 6.

GCF(8172,8178) = 6

We will now calculate the prime factors of 8172 and 8178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8172 and 8178.

How to find the GCF of 8172 and 8178?

We will first find the prime factorization of 8172 and 8178. After we will calculate the factors of 8172 and 8178 and find the biggest common factor number .

Step-1: Prime Factorization of 8172

Prime factors of 8172 are 2, 3, 227. Prime factorization of 8172 in exponential form is:

8172 = 2² × 3² × 227¹

Step-2: Prime Factorization of 8178

Prime factors of 8178 are 2, 3, 29, 47. Prime factorization of 8178 in exponential form is:

8178 = 2¹ × 3¹ × 29¹ × 47¹

Step-3: Factors of 8172

List of positive integer factors of 8172 that divides 8172 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 227, 454, 681, 908, 1362, 2043, 2724, 4086

Step-4: Factors of 8178

List of positive integer factors of 8178 that divides 8172 without a remainder.

1, 2, 3, 6, 29, 47, 58, 87, 94, 141, 174, 282, 1363, 2726, 4089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8172 and 8178. The biggest common factor number is the GCF number.
So the greatest common factor 8172 and 8178 is 6.

Also check out the Least Common Multiple of 8172 and 8178