What is the Greatest Common Factor of 21524 and 21539?

Greatest common factor (GCF) of 21524 and 21539 is 1.

GCF(21524,21539) = 1

We will now calculate the prime factors of 21524 and 21539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21524 and 21539.

How to find the GCF of 21524 and 21539?

We will first find the prime factorization of 21524 and 21539. After we will calculate the factors of 21524 and 21539 and find the biggest common factor number .

Step-1: Prime Factorization of 21524

Prime factors of 21524 are 2, 5381. Prime factorization of 21524 in exponential form is:

21524 = 2² × 5381¹

Step-2: Prime Factorization of 21539

Prime factors of 21539 are 7, 17, 181. Prime factorization of 21539 in exponential form is:

21539 = 7¹ × 17¹ × 181¹

Step-3: Factors of 21524

List of positive integer factors of 21524 that divides 21524 without a remainder.

1, 2, 4, 5381, 10762

Step-4: Factors of 21539

List of positive integer factors of 21539 that divides 21524 without a remainder.

1, 7, 17, 119, 181, 1267, 3077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21524 and 21539. The biggest common factor number is the GCF number.
So the greatest common factor 21524 and 21539 is 1.

Also check out the Least Common Multiple of 21524 and 21539