What is the Greatest Common Factor of 21636 and 21647?

Greatest common factor (GCF) of 21636 and 21647 is 1.

GCF(21636,21647) = 1

We will now calculate the prime factors of 21636 and 21647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21636 and 21647.

How to find the GCF of 21636 and 21647?

We will first find the prime factorization of 21636 and 21647. After we will calculate the factors of 21636 and 21647 and find the biggest common factor number .

Step-1: Prime Factorization of 21636

Prime factors of 21636 are 2, 3, 601. Prime factorization of 21636 in exponential form is:

21636 = 2² × 3² × 601¹

Step-2: Prime Factorization of 21647

Prime factors of 21647 are 21647. Prime factorization of 21647 in exponential form is:

21647 = 21647¹

Step-3: Factors of 21636

List of positive integer factors of 21636 that divides 21636 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 601, 1202, 1803, 2404, 3606, 5409, 7212, 10818

Step-4: Factors of 21647

List of positive integer factors of 21647 that divides 21636 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21636 and 21647. The biggest common factor number is the GCF number.
So the greatest common factor 21636 and 21647 is 1.

Also check out the Least Common Multiple of 21636 and 21647