What is the Greatest Common Factor of 21829 and 21836?

Greatest common factor (GCF) of 21829 and 21836 is 1.

GCF(21829,21836) = 1

We will now calculate the prime factors of 21829 and 21836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21829 and 21836.

How to find the GCF of 21829 and 21836?

We will first find the prime factorization of 21829 and 21836. After we will calculate the factors of 21829 and 21836 and find the biggest common factor number .

Step-1: Prime Factorization of 21829

Prime factors of 21829 are 83, 263. Prime factorization of 21829 in exponential form is:

21829 = 83¹ × 263¹

Step-2: Prime Factorization of 21836

Prime factors of 21836 are 2, 53, 103. Prime factorization of 21836 in exponential form is:

21836 = 2² × 53¹ × 103¹

Step-3: Factors of 21829

List of positive integer factors of 21829 that divides 21829 without a remainder.

1, 83, 263

Step-4: Factors of 21836

List of positive integer factors of 21836 that divides 21829 without a remainder.

1, 2, 4, 53, 103, 106, 206, 212, 412, 5459, 10918

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21829 and 21836. The biggest common factor number is the GCF number.
So the greatest common factor 21829 and 21836 is 1.

Also check out the Least Common Multiple of 21829 and 21836