What is the Greatest Common Factor of 80674 and 80685?

Greatest common factor (GCF) of 80674 and 80685 is 11.

GCF(80674,80685) = 11

We will now calculate the prime factors of 80674 and 80685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80674 and 80685.

How to find the GCF of 80674 and 80685?

We will first find the prime factorization of 80674 and 80685. After we will calculate the factors of 80674 and 80685 and find the biggest common factor number .

Step-1: Prime Factorization of 80674

Prime factors of 80674 are 2, 11, 19, 193. Prime factorization of 80674 in exponential form is:

80674 = 2¹ × 11¹ × 19¹ × 193¹

Step-2: Prime Factorization of 80685

Prime factors of 80685 are 3, 5, 11, 163. Prime factorization of 80685 in exponential form is:

80685 = 3² × 5¹ × 11¹ × 163¹

Step-3: Factors of 80674

List of positive integer factors of 80674 that divides 80674 without a remainder.

1, 2, 11, 19, 22, 38, 193, 209, 386, 418, 2123, 3667, 4246, 7334, 40337

Step-4: Factors of 80685

List of positive integer factors of 80685 that divides 80674 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 163, 165, 489, 495, 815, 1467, 1793, 2445, 5379, 7335, 8965, 16137, 26895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80674 and 80685. The biggest common factor number is the GCF number.
So the greatest common factor 80674 and 80685 is 11.

Also check out the Least Common Multiple of 80674 and 80685