What is the Greatest Common Factor of 4905 and 4917?

Greatest common factor (GCF) of 4905 and 4917 is 3.

GCF(4905,4917) = 3

We will now calculate the prime factors of 4905 and 4917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4905 and 4917.

How to find the GCF of 4905 and 4917?

We will first find the prime factorization of 4905 and 4917. After we will calculate the factors of 4905 and 4917 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 4917

Prime factors of 4917 are 3, 11, 149. Prime factorization of 4917 in exponential form is:

4917 = 3¹ × 11¹ × 149¹

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 4917

List of positive integer factors of 4917 that divides 4905 without a remainder.

1, 3, 11, 33, 149, 447, 1639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4905 and 4917. The biggest common factor number is the GCF number.
So the greatest common factor 4905 and 4917 is 3.

Also check out the Least Common Multiple of 4905 and 4917