What is the Greatest Common Factor of 21483 and 21498?

Greatest common factor (GCF) of 21483 and 21498 is 3.

GCF(21483,21498) = 3

We will now calculate the prime factors of 21483 and 21498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21483 and 21498.

How to find the GCF of 21483 and 21498?

We will first find the prime factorization of 21483 and 21498. After we will calculate the factors of 21483 and 21498 and find the biggest common factor number .

Step-1: Prime Factorization of 21483

Prime factors of 21483 are 3, 7, 11, 31. Prime factorization of 21483 in exponential form is:

21483 = 3² × 7¹ × 11¹ × 31¹

Step-2: Prime Factorization of 21498

Prime factors of 21498 are 2, 3, 3583. Prime factorization of 21498 in exponential form is:

21498 = 2¹ × 3¹ × 3583¹

Step-3: Factors of 21483

List of positive integer factors of 21483 that divides 21483 without a remainder.

1, 3, 7, 9, 11, 21, 31, 33, 63, 77, 93, 99, 217, 231, 279, 341, 651, 693, 1023, 1953, 2387, 3069, 7161

Step-4: Factors of 21498

List of positive integer factors of 21498 that divides 21483 without a remainder.

1, 2, 3, 6, 3583, 7166, 10749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21483 and 21498. The biggest common factor number is the GCF number.
So the greatest common factor 21483 and 21498 is 3.

Also check out the Least Common Multiple of 21483 and 21498