What is the Greatest Common Factor of 21234 and 21249?

Greatest common factor (GCF) of 21234 and 21249 is 3.

GCF(21234,21249) = 3

We will now calculate the prime factors of 21234 and 21249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21234 and 21249.

How to find the GCF of 21234 and 21249?

We will first find the prime factorization of 21234 and 21249. After we will calculate the factors of 21234 and 21249 and find the biggest common factor number .

Step-1: Prime Factorization of 21234

Prime factors of 21234 are 2, 3, 3539. Prime factorization of 21234 in exponential form is:

21234 = 2¹ × 3¹ × 3539¹

Step-2: Prime Factorization of 21249

Prime factors of 21249 are 3, 787. Prime factorization of 21249 in exponential form is:

21249 = 3³ × 787¹

Step-3: Factors of 21234

List of positive integer factors of 21234 that divides 21234 without a remainder.

1, 2, 3, 6, 3539, 7078, 10617

Step-4: Factors of 21249

List of positive integer factors of 21249 that divides 21234 without a remainder.

1, 3, 9, 27, 787, 2361, 7083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21234 and 21249. The biggest common factor number is the GCF number.
So the greatest common factor 21234 and 21249 is 3.

Also check out the Least Common Multiple of 21234 and 21249