What is the Greatest Common Factor of 3905 and 3909?

Greatest common factor (GCF) of 3905 and 3909 is 1.

GCF(3905,3909) = 1

We will now calculate the prime factors of 3905 and 3909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3905 and 3909.

How to find the GCF of 3905 and 3909?

We will first find the prime factorization of 3905 and 3909. After we will calculate the factors of 3905 and 3909 and find the biggest common factor number .

Step-1: Prime Factorization of 3905

Prime factors of 3905 are 5, 11, 71. Prime factorization of 3905 in exponential form is:

3905 = 5¹ × 11¹ × 71¹

Step-2: Prime Factorization of 3909

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

3909 = 3¹ × 1303¹

Step-3: Factors of 3905

List of positive integer factors of 3905 that divides 3905 without a remainder.

1, 5, 11, 55, 71, 355, 781

Step-4: Factors of 3909

List of positive integer factors of 3909 that divides 3905 without a remainder.

1, 3, 1303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3905 and 3909. The biggest common factor number is the GCF number.
So the greatest common factor 3905 and 3909 is 1.

Also check out the Least Common Multiple of 3905 and 3909