What is the Greatest Common Factor of 8172 and 8189?

Greatest common factor (GCF) of 8172 and 8189 is 1.

GCF(8172,8189) = 1

We will now calculate the prime factors of 8172 and 8189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8172 and 8189.

How to find the GCF of 8172 and 8189?

We will first find the prime factorization of 8172 and 8189. After we will calculate the factors of 8172 and 8189 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 8189

Prime factors of 8189 are 19, 431. Prime factorization of 8189 in exponential form is:

8189 = 19¹ × 431¹

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 8189

List of positive integer factors of 8189 that divides 8172 without a remainder.

1, 19, 431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8172 and 8189. The biggest common factor number is the GCF number.
So the greatest common factor 8172 and 8189 is 1.

Also check out the Least Common Multiple of 8172 and 8189