What is the Greatest Common Factor of 80834 and 80847?

Greatest common factor (GCF) of 80834 and 80847 is 13.

GCF(80834,80847) = 13

We will now calculate the prime factors of 80834 and 80847, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80834 and 80847.

How to find the GCF of 80834 and 80847?

We will first find the prime factorization of 80834 and 80847. After we will calculate the factors of 80834 and 80847 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80847

Prime factors of 80847 are 3, 13, 691. Prime factorization of 80847 in exponential form is:

80847 = 3² × 13¹ × 691¹

Step-3: Factors of 80834

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

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

Step-4: Factors of 80847

List of positive integer factors of 80847 that divides 80834 without a remainder.

1, 3, 9, 13, 39, 117, 691, 2073, 6219, 8983, 26949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80834 and 80847. The biggest common factor number is the GCF number.
So the greatest common factor 80834 and 80847 is 13.

Also check out the Least Common Multiple of 80834 and 80847