What is the Greatest Common Factor of 80646 and 80664?

Greatest common factor (GCF) of 80646 and 80664 is 6.

GCF(80646,80664) = 6

We will now calculate the prime factors of 80646 and 80664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80646 and 80664.

How to find the GCF of 80646 and 80664?

We will first find the prime factorization of 80646 and 80664. After we will calculate the factors of 80646 and 80664 and find the biggest common factor number .

Step-1: Prime Factorization of 80646

Prime factors of 80646 are 2, 3, 13441. Prime factorization of 80646 in exponential form is:

80646 = 2¹ × 3¹ × 13441¹

Step-2: 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-3: Factors of 80646

List of positive integer factors of 80646 that divides 80646 without a remainder.

1, 2, 3, 6, 13441, 26882, 40323

Step-4: Factors of 80664

List of positive integer factors of 80664 that divides 80646 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80646 and 80664. The biggest common factor number is the GCF number.
So the greatest common factor 80646 and 80664 is 6.

Also check out the Least Common Multiple of 80646 and 80664