What is the Greatest Common Factor of 21504 and 21523?

Greatest common factor (GCF) of 21504 and 21523 is 1.

GCF(21504,21523) = 1

We will now calculate the prime factors of 21504 and 21523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21504 and 21523.

How to find the GCF of 21504 and 21523?

We will first find the prime factorization of 21504 and 21523. After we will calculate the factors of 21504 and 21523 and find the biggest common factor number .

Step-1: Prime Factorization of 21504

Prime factors of 21504 are 2, 3, 7. Prime factorization of 21504 in exponential form is:

21504 = 2¹⁰ × 3¹ × 7¹

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 21504

List of positive integer factors of 21504 that divides 21504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 512, 672, 768, 896, 1024, 1344, 1536, 1792, 2688, 3072, 3584, 5376, 7168, 10752

Step-4: Factors of 21523

List of positive integer factors of 21523 that divides 21504 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21504 and 21523. The biggest common factor number is the GCF number.
So the greatest common factor 21504 and 21523 is 1.

Also check out the Least Common Multiple of 21504 and 21523