What is the Greatest Common Factor of 4905 and 4909?

Greatest common factor (GCF) of 4905 and 4909 is 1.

GCF(4905,4909) = 1

We will now calculate the prime factors of 4905 and 4909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4905 and 4909.

How to find the GCF of 4905 and 4909?

We will first find the prime factorization of 4905 and 4909. After we will calculate the factors of 4905 and 4909 and find the biggest common factor number .

Step-1: Prime Factorization of 4905

Prime factors of 4905 are 3, 5, 109. Prime factorization of 4905 in exponential form is:

4905 = 3² × 5¹ × 109¹

Step-2: Prime Factorization of 4909

Prime factors of 4909 are 4909. Prime factorization of 4909 in exponential form is:

4909 = 4909¹

Step-3: Factors of 4905

List of positive integer factors of 4905 that divides 4905 without a remainder.

1, 3, 5, 9, 15, 45, 109, 327, 545, 981, 1635

Step-4: Factors of 4909

List of positive integer factors of 4909 that divides 4905 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4905 and 4909. The biggest common factor number is the GCF number.
So the greatest common factor 4905 and 4909 is 1.

Also check out the Least Common Multiple of 4905 and 4909