What is the Greatest Common Factor of 21508 and 21513?

Greatest common factor (GCF) of 21508 and 21513 is 1.

GCF(21508,21513) = 1

We will now calculate the prime factors of 21508 and 21513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21508 and 21513.

How to find the GCF of 21508 and 21513?

We will first find the prime factorization of 21508 and 21513. After we will calculate the factors of 21508 and 21513 and find the biggest common factor number .

Step-1: Prime Factorization of 21508

Prime factors of 21508 are 2, 19, 283. Prime factorization of 21508 in exponential form is:

21508 = 2² × 19¹ × 283¹

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 21508

List of positive integer factors of 21508 that divides 21508 without a remainder.

1, 2, 4, 19, 38, 76, 283, 566, 1132, 5377, 10754

Step-4: Factors of 21513

List of positive integer factors of 21513 that divides 21508 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21508 and 21513. The biggest common factor number is the GCF number.
So the greatest common factor 21508 and 21513 is 1.

Also check out the Least Common Multiple of 21508 and 21513