What is the Greatest Common Factor of 39909 and 39915?

Greatest common factor (GCF) of 39909 and 39915 is 3.

GCF(39909,39915) = 3

We will now calculate the prime factors of 39909 and 39915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39909 and 39915.

How to find the GCF of 39909 and 39915?

We will first find the prime factorization of 39909 and 39915. After we will calculate the factors of 39909 and 39915 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39915

Prime factors of 39915 are 3, 5, 887. Prime factorization of 39915 in exponential form is:

39915 = 3² × 5¹ × 887¹

Step-3: Factors of 39909

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

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

Step-4: Factors of 39915

List of positive integer factors of 39915 that divides 39909 without a remainder.

1, 3, 5, 9, 15, 45, 887, 2661, 4435, 7983, 13305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39909 and 39915. The biggest common factor number is the GCF number.
So the greatest common factor 39909 and 39915 is 3.

Also check out the Least Common Multiple of 39909 and 39915