What is the Greatest Common Factor of 4879 and 4893?

Greatest common factor (GCF) of 4879 and 4893 is 7.

GCF(4879,4893) = 7

We will now calculate the prime factors of 4879 and 4893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4879 and 4893.

How to find the GCF of 4879 and 4893?

We will first find the prime factorization of 4879 and 4893. After we will calculate the factors of 4879 and 4893 and find the biggest common factor number .

Step-1: Prime Factorization of 4879

Prime factors of 4879 are 7, 17, 41. Prime factorization of 4879 in exponential form is:

4879 = 7¹ × 17¹ × 41¹

Step-2: Prime Factorization of 4893

Prime factors of 4893 are 3, 7, 233. Prime factorization of 4893 in exponential form is:

4893 = 3¹ × 7¹ × 233¹

Step-3: Factors of 4879

List of positive integer factors of 4879 that divides 4879 without a remainder.

1, 7, 17, 41, 119, 287, 697

Step-4: Factors of 4893

List of positive integer factors of 4893 that divides 4879 without a remainder.

1, 3, 7, 21, 233, 699, 1631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4879 and 4893. The biggest common factor number is the GCF number.
So the greatest common factor 4879 and 4893 is 7.

Also check out the Least Common Multiple of 4879 and 4893