What is the Greatest Common Factor of 40131 and 40149?

Greatest common factor (GCF) of 40131 and 40149 is 9.

GCF(40131,40149) = 9

We will now calculate the prime factors of 40131 and 40149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40131 and 40149.

How to find the GCF of 40131 and 40149?

We will first find the prime factorization of 40131 and 40149. After we will calculate the factors of 40131 and 40149 and find the biggest common factor number .

Step-1: Prime Factorization of 40131

Prime factors of 40131 are 3, 7, 13. Prime factorization of 40131 in exponential form is:

40131 = 3² × 7³ × 13¹

Step-2: Prime Factorization of 40149

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

40149 = 3³ × 1487¹

Step-3: Factors of 40131

List of positive integer factors of 40131 that divides 40131 without a remainder.

1, 3, 7, 9, 13, 21, 39, 49, 63, 91, 117, 147, 273, 343, 441, 637, 819, 1029, 1911, 3087, 4459, 5733, 13377

Step-4: Factors of 40149

List of positive integer factors of 40149 that divides 40131 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40131 and 40149. The biggest common factor number is the GCF number.
So the greatest common factor 40131 and 40149 is 9.

Also check out the Least Common Multiple of 40131 and 40149