What is the Greatest Common Factor of 3909 and 3918?

Greatest common factor (GCF) of 3909 and 3918 is 3.

GCF(3909,3918) = 3

We will now calculate the prime factors of 3909 and 3918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3909 and 3918.

How to find the GCF of 3909 and 3918?

We will first find the prime factorization of 3909 and 3918. After we will calculate the factors of 3909 and 3918 and find the biggest common factor number .

Step-1: Prime Factorization of 3909

Prime factors of 3909 are 3, 1303. Prime factorization of 3909 in exponential form is:

3909 = 3¹ × 1303¹

Step-2: Prime Factorization of 3918

Prime factors of 3918 are 2, 3, 653. Prime factorization of 3918 in exponential form is:

3918 = 2¹ × 3¹ × 653¹

Step-3: Factors of 3909

List of positive integer factors of 3909 that divides 3909 without a remainder.

1, 3, 1303

Step-4: Factors of 3918

List of positive integer factors of 3918 that divides 3909 without a remainder.

1, 2, 3, 6, 653, 1306, 1959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3909 and 3918. The biggest common factor number is the GCF number.
So the greatest common factor 3909 and 3918 is 3.

Also check out the Least Common Multiple of 3909 and 3918