What is the Greatest Common Factor of 21507 and 21523?

Greatest common factor (GCF) of 21507 and 21523 is 1.

GCF(21507,21523) = 1

We will now calculate the prime factors of 21507 and 21523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21507 and 21523.

How to find the GCF of 21507 and 21523?

We will first find the prime factorization of 21507 and 21523. After we will calculate the factors of 21507 and 21523 and find the biggest common factor number .

Step-1: Prime Factorization of 21507

Prime factors of 21507 are 3, 67, 107. Prime factorization of 21507 in exponential form is:

21507 = 3¹ × 67¹ × 107¹

Step-2: Prime Factorization of 21523

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

21523 = 21523¹

Step-3: Factors of 21507

List of positive integer factors of 21507 that divides 21507 without a remainder.

1, 3, 67, 107, 201, 321, 7169

Step-4: Factors of 21523

List of positive integer factors of 21523 that divides 21507 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21507 and 21523. The biggest common factor number is the GCF number.
So the greatest common factor 21507 and 21523 is 1.

Also check out the Least Common Multiple of 21507 and 21523