What is the Greatest Common Factor of 39897 and 39909?

Greatest common factor (GCF) of 39897 and 39909 is 3.

GCF(39897,39909) = 3

We will now calculate the prime factors of 39897 and 39909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39897 and 39909.

How to find the GCF of 39897 and 39909?

We will first find the prime factorization of 39897 and 39909. After we will calculate the factors of 39897 and 39909 and find the biggest common factor number .

Step-1: Prime Factorization of 39897

Prime factors of 39897 are 3, 11, 13, 31. Prime factorization of 39897 in exponential form is:

39897 = 3² × 11¹ × 13¹ × 31¹

Step-2: Prime Factorization of 39909

Prime factors of 39909 are 3, 53, 251. Prime factorization of 39909 in exponential form is:

39909 = 3¹ × 53¹ × 251¹

Step-3: Factors of 39897

List of positive integer factors of 39897 that divides 39897 without a remainder.

1, 3, 9, 11, 13, 31, 33, 39, 93, 99, 117, 143, 279, 341, 403, 429, 1023, 1209, 1287, 3069, 3627, 4433, 13299

Step-4: Factors of 39909

List of positive integer factors of 39909 that divides 39897 without a remainder.

1, 3, 53, 159, 251, 753, 13303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39897 and 39909. The biggest common factor number is the GCF number.
So the greatest common factor 39897 and 39909 is 3.

Also check out the Least Common Multiple of 39897 and 39909