What is the Greatest Common Factor of 21523 and 21530?

Greatest common factor (GCF) of 21523 and 21530 is 1.

GCF(21523,21530) = 1

We will now calculate the prime factors of 21523 and 21530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21523 and 21530.

How to find the GCF of 21523 and 21530?

We will first find the prime factorization of 21523 and 21530. After we will calculate the factors of 21523 and 21530 and find the biggest common factor number .

Step-1: Prime Factorization of 21523

Prime factors of 21523 are 21523. Prime factorization of 21523 in exponential form is:

21523 = 21523¹

Step-2: Prime Factorization of 21530

Prime factors of 21530 are 2, 5, 2153. Prime factorization of 21530 in exponential form is:

21530 = 2¹ × 5¹ × 2153¹

Step-3: Factors of 21523

List of positive integer factors of 21523 that divides 21523 without a remainder.

Step-4: Factors of 21530

List of positive integer factors of 21530 that divides 21523 without a remainder.

1, 2, 5, 10, 2153, 4306, 10765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21523 and 21530. The biggest common factor number is the GCF number.
So the greatest common factor 21523 and 21530 is 1.

Also check out the Least Common Multiple of 21523 and 21530