What is the Greatest Common Factor of 83343 and 83355?

Greatest common factor (GCF) of 83343 and 83355 is 3.

GCF(83343,83355) = 3

We will now calculate the prime factors of 83343 and 83355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83343 and 83355.

How to find the GCF of 83343 and 83355?

We will first find the prime factorization of 83343 and 83355. After we will calculate the factors of 83343 and 83355 and find the biggest common factor number .

Step-1: Prime Factorization of 83343

Prime factors of 83343 are 3, 13, 2137. Prime factorization of 83343 in exponential form is:

83343 = 3¹ × 13¹ × 2137¹

Step-2: Prime Factorization of 83355

Prime factors of 83355 are 3, 5, 5557. Prime factorization of 83355 in exponential form is:

83355 = 3¹ × 5¹ × 5557¹

Step-3: Factors of 83343

List of positive integer factors of 83343 that divides 83343 without a remainder.

1, 3, 13, 39, 2137, 6411, 27781

Step-4: Factors of 83355

List of positive integer factors of 83355 that divides 83343 without a remainder.

1, 3, 5, 15, 5557, 16671, 27785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83343 and 83355. The biggest common factor number is the GCF number.
So the greatest common factor 83343 and 83355 is 3.

Also check out the Least Common Multiple of 83343 and 83355