What is the Greatest Common Factor of 80664 and 80680?

Greatest common factor (GCF) of 80664 and 80680 is 8.

GCF(80664,80680) = 8

We will now calculate the prime factors of 80664 and 80680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80664 and 80680.

How to find the GCF of 80664 and 80680?

We will first find the prime factorization of 80664 and 80680. After we will calculate the factors of 80664 and 80680 and find the biggest common factor number .

Step-1: Prime Factorization of 80664

Prime factors of 80664 are 2, 3, 3361. Prime factorization of 80664 in exponential form is:

80664 = 2³ × 3¹ × 3361¹

Step-2: Prime Factorization of 80680

Prime factors of 80680 are 2, 5, 2017. Prime factorization of 80680 in exponential form is:

80680 = 2³ × 5¹ × 2017¹

Step-3: Factors of 80664

List of positive integer factors of 80664 that divides 80664 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3361, 6722, 10083, 13444, 20166, 26888, 40332

Step-4: Factors of 80680

List of positive integer factors of 80680 that divides 80664 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2017, 4034, 8068, 10085, 16136, 20170, 40340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80664 and 80680. The biggest common factor number is the GCF number.
So the greatest common factor 80664 and 80680 is 8.

Also check out the Least Common Multiple of 80664 and 80680