What is the Greatest Common Factor of 80829 and 80843?

Greatest common factor (GCF) of 80829 and 80843 is 7.

GCF(80829,80843) = 7

We will now calculate the prime factors of 80829 and 80843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80829 and 80843.

How to find the GCF of 80829 and 80843?

We will first find the prime factorization of 80829 and 80843. After we will calculate the factors of 80829 and 80843 and find the biggest common factor number .

Step-1: Prime Factorization of 80829

Prime factors of 80829 are 3, 7, 1283. Prime factorization of 80829 in exponential form is:

80829 = 3² × 7¹ × 1283¹

Step-2: Prime Factorization of 80843

Prime factors of 80843 are 7, 11549. Prime factorization of 80843 in exponential form is:

80843 = 7¹ × 11549¹

Step-3: Factors of 80829

List of positive integer factors of 80829 that divides 80829 without a remainder.

1, 3, 7, 9, 21, 63, 1283, 3849, 8981, 11547, 26943

Step-4: Factors of 80843

List of positive integer factors of 80843 that divides 80829 without a remainder.

1, 7, 11549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80829 and 80843. The biggest common factor number is the GCF number.
So the greatest common factor 80829 and 80843 is 7.

Also check out the Least Common Multiple of 80829 and 80843