What is the Greatest Common Factor of 20646 and 20664?

Greatest common factor (GCF) of 20646 and 20664 is 18.

GCF(20646,20664) = 18

We will now calculate the prime factors of 20646 and 20664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20646 and 20664.

How to find the GCF of 20646 and 20664?

We will first find the prime factorization of 20646 and 20664. After we will calculate the factors of 20646 and 20664 and find the biggest common factor number .

Step-1: Prime Factorization of 20646

Prime factors of 20646 are 2, 3, 31, 37. Prime factorization of 20646 in exponential form is:

20646 = 2¹ × 3² × 31¹ × 37¹

Step-2: 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-3: Factors of 20646

List of positive integer factors of 20646 that divides 20646 without a remainder.

1, 2, 3, 6, 9, 18, 31, 37, 62, 74, 93, 111, 186, 222, 279, 333, 558, 666, 1147, 2294, 3441, 6882, 10323

Step-4: Factors of 20664

List of positive integer factors of 20664 that divides 20646 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20646 and 20664. The biggest common factor number is the GCF number.
So the greatest common factor 20646 and 20664 is 18.

Also check out the Least Common Multiple of 20646 and 20664