What is the Greatest Common Factor of 10149 and 10167?

Greatest common factor (GCF) of 10149 and 10167 is 3.

GCF(10149,10167) = 3

We will now calculate the prime factors of 10149 and 10167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10149 and 10167.

How to find the GCF of 10149 and 10167?

We will first find the prime factorization of 10149 and 10167. After we will calculate the factors of 10149 and 10167 and find the biggest common factor number .

Step-1: Prime Factorization of 10149

Prime factors of 10149 are 3, 17, 199. Prime factorization of 10149 in exponential form is:

10149 = 3¹ × 17¹ × 199¹

Step-2: Prime Factorization of 10167

Prime factors of 10167 are 3, 3389. Prime factorization of 10167 in exponential form is:

10167 = 3¹ × 3389¹

Step-3: Factors of 10149

List of positive integer factors of 10149 that divides 10149 without a remainder.

1, 3, 17, 51, 199, 597, 3383

Step-4: Factors of 10167

List of positive integer factors of 10167 that divides 10149 without a remainder.

1, 3, 3389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10149 and 10167. The biggest common factor number is the GCF number.
So the greatest common factor 10149 and 10167 is 3.

Also check out the Least Common Multiple of 10149 and 10167