What is the Greatest Common Factor of 80838 and 80849?

Greatest common factor (GCF) of 80838 and 80849 is 1.

GCF(80838,80849) = 1

We will now calculate the prime factors of 80838 and 80849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80838 and 80849.

How to find the GCF of 80838 and 80849?

We will first find the prime factorization of 80838 and 80849. After we will calculate the factors of 80838 and 80849 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80849

Prime factors of 80849 are 80849. Prime factorization of 80849 in exponential form is:

80849 = 80849¹

Step-3: Factors of 80838

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

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

Step-4: Factors of 80849

List of positive integer factors of 80849 that divides 80838 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80838 and 80849. The biggest common factor number is the GCF number.
So the greatest common factor 80838 and 80849 is 1.

Also check out the Least Common Multiple of 80838 and 80849