What is the Greatest Common Factor of 80337 and 80343?

Greatest common factor (GCF) of 80337 and 80343 is 3.

GCF(80337,80343) = 3

We will now calculate the prime factors of 80337 and 80343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80337 and 80343.

How to find the GCF of 80337 and 80343?

We will first find the prime factorization of 80337 and 80343. After we will calculate the factors of 80337 and 80343 and find the biggest common factor number .

Step-1: Prime Factorization of 80337

Prime factors of 80337 are 3, 61, 439. Prime factorization of 80337 in exponential form is:

80337 = 3¹ × 61¹ × 439¹

Step-2: Prime Factorization of 80343

Prime factors of 80343 are 3, 79, 113. Prime factorization of 80343 in exponential form is:

80343 = 3² × 79¹ × 113¹

Step-3: Factors of 80337

List of positive integer factors of 80337 that divides 80337 without a remainder.

1, 3, 61, 183, 439, 1317, 26779

Step-4: Factors of 80343

List of positive integer factors of 80343 that divides 80337 without a remainder.

1, 3, 9, 79, 113, 237, 339, 711, 1017, 8927, 26781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80337 and 80343. The biggest common factor number is the GCF number.
So the greatest common factor 80337 and 80343 is 3.

Also check out the Least Common Multiple of 80337 and 80343