What is the Greatest Common Factor of 80664 and 80673?

Greatest common factor (GCF) of 80664 and 80673 is 3.

GCF(80664,80673) = 3

We will now calculate the prime factors of 80664 and 80673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80664 and 80673.

How to find the GCF of 80664 and 80673?

We will first find the prime factorization of 80664 and 80673. After we will calculate the factors of 80664 and 80673 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 80673

Prime factors of 80673 are 3, 26891. Prime factorization of 80673 in exponential form is:

80673 = 3¹ × 26891¹

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 80673

List of positive integer factors of 80673 that divides 80664 without a remainder.

1, 3, 26891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80664 and 80673. The biggest common factor number is the GCF number.
So the greatest common factor 80664 and 80673 is 3.

Also check out the Least Common Multiple of 80664 and 80673