What is the Greatest Common Factor of 20645 and 20664?

Greatest common factor (GCF) of 20645 and 20664 is 1.

GCF(20645,20664) = 1

We will now calculate the prime factors of 20645 and 20664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20645 and 20664.

How to find the GCF of 20645 and 20664?

We will first find the prime factorization of 20645 and 20664. After we will calculate the factors of 20645 and 20664 and find the biggest common factor number .

Step-1: Prime Factorization of 20645

Prime factors of 20645 are 5, 4129. Prime factorization of 20645 in exponential form is:

20645 = 5¹ × 4129¹

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 20645

List of positive integer factors of 20645 that divides 20645 without a remainder.

1, 5, 4129

Step-4: Factors of 20664

List of positive integer factors of 20664 that divides 20645 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 20645 and 20664. The biggest common factor number is the GCF number.
So the greatest common factor 20645 and 20664 is 1.

Also check out the Least Common Multiple of 20645 and 20664