What is the Greatest Common Factor of 20664 and 20676?

Greatest common factor (GCF) of 20664 and 20676 is 12.

GCF(20664,20676) = 12

We will now calculate the prime factors of 20664 and 20676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20664 and 20676.

How to find the GCF of 20664 and 20676?

We will first find the prime factorization of 20664 and 20676. After we will calculate the factors of 20664 and 20676 and find the biggest common factor number .

Step-1: Prime Factorization of 20664

Prime factors of 20664 are 2, 3, 7, 41. Prime factorization of 20664 in exponential form is:

20664 = 2³ × 3² × 7¹ × 41¹

Step-2: Prime Factorization of 20676

Prime factors of 20676 are 2, 3, 1723. Prime factorization of 20676 in exponential form is:

20676 = 2² × 3¹ × 1723¹

Step-3: Factors of 20664

List of positive integer factors of 20664 that divides 20664 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 41, 42, 56, 63, 72, 82, 84, 123, 126, 164, 168, 246, 252, 287, 328, 369, 492, 504, 574, 738, 861, 984, 1148, 1476, 1722, 2296, 2583, 2952, 3444, 5166, 6888, 10332

Step-4: Factors of 20676

List of positive integer factors of 20676 that divides 20664 without a remainder.

1, 2, 3, 4, 6, 12, 1723, 3446, 5169, 6892, 10338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20664 and 20676. The biggest common factor number is the GCF number.
So the greatest common factor 20664 and 20676 is 12.

Also check out the Least Common Multiple of 20664 and 20676