What is the Greatest Common Factor of 4809 and 4824?

Greatest common factor (GCF) of 4809 and 4824 is 3.

GCF(4809,4824) = 3

We will now calculate the prime factors of 4809 and 4824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4809 and 4824.

How to find the GCF of 4809 and 4824?

We will first find the prime factorization of 4809 and 4824. After we will calculate the factors of 4809 and 4824 and find the biggest common factor number .

Step-1: Prime Factorization of 4809

Prime factors of 4809 are 3, 7, 229. Prime factorization of 4809 in exponential form is:

4809 = 3¹ × 7¹ × 229¹

Step-2: Prime Factorization of 4824

Prime factors of 4824 are 2, 3, 67. Prime factorization of 4824 in exponential form is:

4824 = 2³ × 3² × 67¹

Step-3: Factors of 4809

List of positive integer factors of 4809 that divides 4809 without a remainder.

1, 3, 7, 21, 229, 687, 1603

Step-4: Factors of 4824

List of positive integer factors of 4824 that divides 4809 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 67, 72, 134, 201, 268, 402, 536, 603, 804, 1206, 1608, 2412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4809 and 4824. The biggest common factor number is the GCF number.
So the greatest common factor 4809 and 4824 is 3.

Also check out the Least Common Multiple of 4809 and 4824