What is the Greatest Common Factor of 84813 and 84830?

Greatest common factor (GCF) of 84813 and 84830 is 17.

GCF(84813,84830) = 17

We will now calculate the prime factors of 84813 and 84830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84813 and 84830.

How to find the GCF of 84813 and 84830?

We will first find the prime factorization of 84813 and 84830. After we will calculate the factors of 84813 and 84830 and find the biggest common factor number .

Step-1: Prime Factorization of 84813

Prime factors of 84813 are 3, 17, 1663. Prime factorization of 84813 in exponential form is:

84813 = 3¹ × 17¹ × 1663¹

Step-2: Prime Factorization of 84830

Prime factors of 84830 are 2, 5, 17, 499. Prime factorization of 84830 in exponential form is:

84830 = 2¹ × 5¹ × 17¹ × 499¹

Step-3: Factors of 84813

List of positive integer factors of 84813 that divides 84813 without a remainder.

1, 3, 17, 51, 1663, 4989, 28271

Step-4: Factors of 84830

List of positive integer factors of 84830 that divides 84813 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 499, 998, 2495, 4990, 8483, 16966, 42415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84813 and 84830. The biggest common factor number is the GCF number.
So the greatest common factor 84813 and 84830 is 17.

Also check out the Least Common Multiple of 84813 and 84830