What is the Greatest Common Factor of 21498 and 21513?

Greatest common factor (GCF) of 21498 and 21513 is 3.

GCF(21498,21513) = 3

We will now calculate the prime factors of 21498 and 21513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21498 and 21513.

How to find the GCF of 21498 and 21513?

We will first find the prime factorization of 21498 and 21513. After we will calculate the factors of 21498 and 21513 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21513

Prime factors of 21513 are 3, 71, 101. Prime factorization of 21513 in exponential form is:

21513 = 3¹ × 71¹ × 101¹

Step-3: Factors of 21498

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

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

Step-4: Factors of 21513

List of positive integer factors of 21513 that divides 21498 without a remainder.

1, 3, 71, 101, 213, 303, 7171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21498 and 21513. The biggest common factor number is the GCF number.
So the greatest common factor 21498 and 21513 is 3.

Also check out the Least Common Multiple of 21498 and 21513