What is the Greatest Common Factor of 80823 and 80834?

Greatest common factor (GCF) of 80823 and 80834 is 1.

GCF(80823,80834) = 1

We will now calculate the prime factors of 80823 and 80834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80823 and 80834.

How to find the GCF of 80823 and 80834?

We will first find the prime factorization of 80823 and 80834. After we will calculate the factors of 80823 and 80834 and find the biggest common factor number .

Step-1: Prime Factorization of 80823

Prime factors of 80823 are 3, 29, 929. Prime factorization of 80823 in exponential form is:

80823 = 3¹ × 29¹ × 929¹

Step-2: Prime Factorization of 80834

Prime factors of 80834 are 2, 13, 3109. Prime factorization of 80834 in exponential form is:

80834 = 2¹ × 13¹ × 3109¹

Step-3: Factors of 80823

List of positive integer factors of 80823 that divides 80823 without a remainder.

1, 3, 29, 87, 929, 2787, 26941

Step-4: Factors of 80834

List of positive integer factors of 80834 that divides 80823 without a remainder.

1, 2, 13, 26, 3109, 6218, 40417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80823 and 80834. The biggest common factor number is the GCF number.
So the greatest common factor 80823 and 80834 is 1.

Also check out the Least Common Multiple of 80823 and 80834