What is the Greatest Common Factor of 4896 and 4909?

Greatest common factor (GCF) of 4896 and 4909 is 1.

GCF(4896,4909) = 1

We will now calculate the prime factors of 4896 and 4909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4896 and 4909.

How to find the GCF of 4896 and 4909?

We will first find the prime factorization of 4896 and 4909. After we will calculate the factors of 4896 and 4909 and find the biggest common factor number .

Step-1: Prime Factorization of 4896

Prime factors of 4896 are 2, 3, 17. Prime factorization of 4896 in exponential form is:

4896 = 2⁵ × 3² × 17¹

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 4896

List of positive integer factors of 4896 that divides 4896 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 68, 72, 96, 102, 136, 144, 153, 204, 272, 288, 306, 408, 544, 612, 816, 1224, 1632, 2448

Step-4: Factors of 4909

List of positive integer factors of 4909 that divides 4896 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4896 and 4909. The biggest common factor number is the GCF number.
So the greatest common factor 4896 and 4909 is 1.

Also check out the Least Common Multiple of 4896 and 4909