What is the Greatest Common Factor of 21629 and 21637?

Greatest common factor (GCF) of 21629 and 21637 is 1.

GCF(21629,21637) = 1

We will now calculate the prime factors of 21629 and 21637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21629 and 21637.

How to find the GCF of 21629 and 21637?

We will first find the prime factorization of 21629 and 21637. After we will calculate the factors of 21629 and 21637 and find the biggest common factor number .

Step-1: Prime Factorization of 21629

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

21629 = 43¹ × 503¹

Step-2: Prime Factorization of 21637

Prime factors of 21637 are 7, 11, 281. Prime factorization of 21637 in exponential form is:

21637 = 7¹ × 11¹ × 281¹

Step-3: Factors of 21629

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

1, 43, 503

Step-4: Factors of 21637

List of positive integer factors of 21637 that divides 21629 without a remainder.

1, 7, 11, 77, 281, 1967, 3091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21629 and 21637. The biggest common factor number is the GCF number.
So the greatest common factor 21629 and 21637 is 1.

Also check out the Least Common Multiple of 21629 and 21637