What is the Greatest Common Factor of 21526 and 21537?

Greatest common factor (GCF) of 21526 and 21537 is 1.

GCF(21526,21537) = 1

We will now calculate the prime factors of 21526 and 21537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21526 and 21537.

How to find the GCF of 21526 and 21537?

We will first find the prime factorization of 21526 and 21537. After we will calculate the factors of 21526 and 21537 and find the biggest common factor number .

Step-1: Prime Factorization of 21526

Prime factors of 21526 are 2, 47, 229. Prime factorization of 21526 in exponential form is:

21526 = 2¹ × 47¹ × 229¹

Step-2: Prime Factorization of 21537

Prime factors of 21537 are 3, 2393. Prime factorization of 21537 in exponential form is:

21537 = 3² × 2393¹

Step-3: Factors of 21526

List of positive integer factors of 21526 that divides 21526 without a remainder.

1, 2, 47, 94, 229, 458, 10763

Step-4: Factors of 21537

List of positive integer factors of 21537 that divides 21526 without a remainder.

1, 3, 9, 2393, 7179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21526 and 21537. The biggest common factor number is the GCF number.
So the greatest common factor 21526 and 21537 is 1.

Also check out the Least Common Multiple of 21526 and 21537