What is the Greatest Common Factor of 80670 and 80685?

Greatest common factor (GCF) of 80670 and 80685 is 15.

GCF(80670,80685) = 15

We will now calculate the prime factors of 80670 and 80685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80670 and 80685.

How to find the GCF of 80670 and 80685?

We will first find the prime factorization of 80670 and 80685. After we will calculate the factors of 80670 and 80685 and find the biggest common factor number .

Step-1: Prime Factorization of 80670

Prime factors of 80670 are 2, 3, 5, 2689. Prime factorization of 80670 in exponential form is:

80670 = 2¹ × 3¹ × 5¹ × 2689¹

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 80670

List of positive integer factors of 80670 that divides 80670 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2689, 5378, 8067, 13445, 16134, 26890, 40335

Step-4: Factors of 80685

List of positive integer factors of 80685 that divides 80670 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 80670 and 80685. The biggest common factor number is the GCF number.
So the greatest common factor 80670 and 80685 is 15.

Also check out the Least Common Multiple of 80670 and 80685