What is the Greatest Common Factor of 83333 and 83343?

Greatest common factor (GCF) of 83333 and 83343 is 1.

GCF(83333,83343) = 1

We will now calculate the prime factors of 83333 and 83343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83333 and 83343.

How to find the GCF of 83333 and 83343?

We will first find the prime factorization of 83333 and 83343. After we will calculate the factors of 83333 and 83343 and find the biggest common factor number .

Step-1: Prime Factorization of 83333

Prime factors of 83333 are 167, 499. Prime factorization of 83333 in exponential form is:

83333 = 167¹ × 499¹

Step-2: 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-3: Factors of 83333

List of positive integer factors of 83333 that divides 83333 without a remainder.

1, 167, 499

Step-4: Factors of 83343

List of positive integer factors of 83343 that divides 83333 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83333 and 83343. The biggest common factor number is the GCF number.
So the greatest common factor 83333 and 83343 is 1.

Also check out the Least Common Multiple of 83333 and 83343