What is the Greatest Common Factor of 80814 and 80818?

Greatest common factor (GCF) of 80814 and 80818 is 2.

GCF(80814,80818) = 2

We will now calculate the prime factors of 80814 and 80818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80814 and 80818.

How to find the GCF of 80814 and 80818?

We will first find the prime factorization of 80814 and 80818. After we will calculate the factors of 80814 and 80818 and find the biggest common factor number .

Step-1: Prime Factorization of 80814

Prime factors of 80814 are 2, 3, 13469. Prime factorization of 80814 in exponential form is:

80814 = 2¹ × 3¹ × 13469¹

Step-2: Prime Factorization of 80818

Prime factors of 80818 are 2, 17, 2377. Prime factorization of 80818 in exponential form is:

80818 = 2¹ × 17¹ × 2377¹

Step-3: Factors of 80814

List of positive integer factors of 80814 that divides 80814 without a remainder.

1, 2, 3, 6, 13469, 26938, 40407

Step-4: Factors of 80818

List of positive integer factors of 80818 that divides 80814 without a remainder.

1, 2, 17, 34, 2377, 4754, 40409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80814 and 80818. The biggest common factor number is the GCF number.
So the greatest common factor 80814 and 80818 is 2.

Also check out the Least Common Multiple of 80814 and 80818