What is the Greatest Common Factor of 21604 and 21609?

Greatest common factor (GCF) of 21604 and 21609 is 1.

GCF(21604,21609) = 1

We will now calculate the prime factors of 21604 and 21609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21604 and 21609.

How to find the GCF of 21604 and 21609?

We will first find the prime factorization of 21604 and 21609. After we will calculate the factors of 21604 and 21609 and find the biggest common factor number .

Step-1: Prime Factorization of 21604

Prime factors of 21604 are 2, 11, 491. Prime factorization of 21604 in exponential form is:

21604 = 2² × 11¹ × 491¹

Step-2: Prime Factorization of 21609

Prime factors of 21609 are 3, 7. Prime factorization of 21609 in exponential form is:

21609 = 3² × 7⁴

Step-3: Factors of 21604

List of positive integer factors of 21604 that divides 21604 without a remainder.

1, 2, 4, 11, 22, 44, 491, 982, 1964, 5401, 10802

Step-4: Factors of 21609

List of positive integer factors of 21609 that divides 21604 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 343, 441, 1029, 2401, 3087, 7203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21604 and 21609. The biggest common factor number is the GCF number.
So the greatest common factor 21604 and 21609 is 1.

Also check out the Least Common Multiple of 21604 and 21609