What is the Greatest Common Factor of 80664 and 80676?

Greatest common factor (GCF) of 80664 and 80676 is 12.

GCF(80664,80676) = 12

We will now calculate the prime factors of 80664 and 80676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80664 and 80676.

How to find the GCF of 80664 and 80676?

We will first find the prime factorization of 80664 and 80676. After we will calculate the factors of 80664 and 80676 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 80676

Prime factors of 80676 are 2, 3, 83. Prime factorization of 80676 in exponential form is:

80676 = 2² × 3⁵ × 83¹

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 80676

List of positive integer factors of 80676 that divides 80664 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 83, 108, 162, 166, 243, 249, 324, 332, 486, 498, 747, 972, 996, 1494, 2241, 2988, 4482, 6723, 8964, 13446, 20169, 26892, 40338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80664 and 80676. The biggest common factor number is the GCF number.
So the greatest common factor 80664 and 80676 is 12.

Also check out the Least Common Multiple of 80664 and 80676