What is the Greatest Common Factor of 40149 and 40167?

Greatest common factor (GCF) of 40149 and 40167 is 9.

GCF(40149,40167) = 9

We will now calculate the prime factors of 40149 and 40167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40149 and 40167.

How to find the GCF of 40149 and 40167?

We will first find the prime factorization of 40149 and 40167. After we will calculate the factors of 40149 and 40167 and find the biggest common factor number .

Step-1: Prime Factorization of 40149

Prime factors of 40149 are 3, 1487. Prime factorization of 40149 in exponential form is:

40149 = 3³ × 1487¹

Step-2: Prime Factorization of 40167

Prime factors of 40167 are 3, 4463. Prime factorization of 40167 in exponential form is:

40167 = 3² × 4463¹

Step-3: Factors of 40149

List of positive integer factors of 40149 that divides 40149 without a remainder.

1, 3, 9, 27, 1487, 4461, 13383

Step-4: Factors of 40167

List of positive integer factors of 40167 that divides 40149 without a remainder.

1, 3, 9, 4463, 13389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40149 and 40167. The biggest common factor number is the GCF number.
So the greatest common factor 40149 and 40167 is 9.

Also check out the Least Common Multiple of 40149 and 40167