What is the Greatest Common Factor of 80829 and 80838?

Greatest common factor (GCF) of 80829 and 80838 is 9.

GCF(80829,80838) = 9

We will now calculate the prime factors of 80829 and 80838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80829 and 80838.

How to find the GCF of 80829 and 80838?

We will first find the prime factorization of 80829 and 80838. After we will calculate the factors of 80829 and 80838 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 80838

Prime factors of 80838 are 2, 3, 499. Prime factorization of 80838 in exponential form is:

80838 = 2¹ × 3⁴ × 499¹

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 80838

List of positive integer factors of 80838 that divides 80829 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 499, 998, 1497, 2994, 4491, 8982, 13473, 26946, 40419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80829 and 80838. The biggest common factor number is the GCF number.
So the greatest common factor 80829 and 80838 is 9.

Also check out the Least Common Multiple of 80829 and 80838