What is the Greatest Common Factor of 4802 and 4809?

Greatest common factor (GCF) of 4802 and 4809 is 7.

GCF(4802,4809) = 7

We will now calculate the prime factors of 4802 and 4809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4802 and 4809.

How to find the GCF of 4802 and 4809?

We will first find the prime factorization of 4802 and 4809. After we will calculate the factors of 4802 and 4809 and find the biggest common factor number .

Step-1: Prime Factorization of 4802

Prime factors of 4802 are 2, 7. Prime factorization of 4802 in exponential form is:

4802 = 2¹ × 7⁴

Step-2: 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-3: Factors of 4802

List of positive integer factors of 4802 that divides 4802 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686, 2401

Step-4: Factors of 4809

List of positive integer factors of 4809 that divides 4802 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4802 and 4809. The biggest common factor number is the GCF number.
So the greatest common factor 4802 and 4809 is 7.

Also check out the Least Common Multiple of 4802 and 4809