What is the Greatest Common Factor of 83324 and 83343?

Greatest common factor (GCF) of 83324 and 83343 is 1.

GCF(83324,83343) = 1

We will now calculate the prime factors of 83324 and 83343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83324 and 83343.

How to find the GCF of 83324 and 83343?

We will first find the prime factorization of 83324 and 83343. After we will calculate the factors of 83324 and 83343 and find the biggest common factor number .

Step-1: Prime Factorization of 83324

Prime factors of 83324 are 2, 37, 563. Prime factorization of 83324 in exponential form is:

83324 = 2² × 37¹ × 563¹

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 83324

List of positive integer factors of 83324 that divides 83324 without a remainder.

1, 2, 4, 37, 74, 148, 563, 1126, 2252, 20831, 41662

Step-4: Factors of 83343

List of positive integer factors of 83343 that divides 83324 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83324 and 83343. The biggest common factor number is the GCF number.
So the greatest common factor 83324 and 83343 is 1.

Also check out the Least Common Multiple of 83324 and 83343