What is the Greatest Common Factor of 21609 and 21629?

Greatest common factor (GCF) of 21609 and 21629 is 1.

GCF(21609,21629) = 1

We will now calculate the prime factors of 21609 and 21629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21609 and 21629.

How to find the GCF of 21609 and 21629?

We will first find the prime factorization of 21609 and 21629. After we will calculate the factors of 21609 and 21629 and find the biggest common factor number .

Step-1: Prime Factorization of 21609

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

21609 = 3² × 7⁴

Step-2: Prime Factorization of 21629

Prime factors of 21629 are 43, 503. Prime factorization of 21629 in exponential form is:

21629 = 43¹ × 503¹

Step-3: Factors of 21609

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

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

Step-4: Factors of 21629

List of positive integer factors of 21629 that divides 21609 without a remainder.

1, 43, 503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21609 and 21629. The biggest common factor number is the GCF number.
So the greatest common factor 21609 and 21629 is 1.

Also check out the Least Common Multiple of 21609 and 21629