What is the Greatest Common Factor of 20664 and 20671?

Greatest common factor (GCF) of 20664 and 20671 is 7.

GCF(20664,20671) = 7

We will now calculate the prime factors of 20664 and 20671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20664 and 20671.

How to find the GCF of 20664 and 20671?

We will first find the prime factorization of 20664 and 20671. After we will calculate the factors of 20664 and 20671 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 20671

Prime factors of 20671 are 7, 2953. Prime factorization of 20671 in exponential form is:

20671 = 7¹ × 2953¹

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 20671

List of positive integer factors of 20671 that divides 20664 without a remainder.

1, 7, 2953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20664 and 20671. The biggest common factor number is the GCF number.
So the greatest common factor 20664 and 20671 is 7.

Also check out the Least Common Multiple of 20664 and 20671