What is the Greatest Common Factor of 21465 and 21479?

Greatest common factor (GCF) of 21465 and 21479 is 1.

GCF(21465,21479) = 1

We will now calculate the prime factors of 21465 and 21479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21465 and 21479.

How to find the GCF of 21465 and 21479?

We will first find the prime factorization of 21465 and 21479. After we will calculate the factors of 21465 and 21479 and find the biggest common factor number .

Step-1: Prime Factorization of 21465

Prime factors of 21465 are 3, 5, 53. Prime factorization of 21465 in exponential form is:

21465 = 3⁴ × 5¹ × 53¹

Step-2: Prime Factorization of 21479

Prime factors of 21479 are 47, 457. Prime factorization of 21479 in exponential form is:

21479 = 47¹ × 457¹

Step-3: Factors of 21465

List of positive integer factors of 21465 that divides 21465 without a remainder.

1, 3, 5, 9, 15, 27, 45, 53, 81, 135, 159, 265, 405, 477, 795, 1431, 2385, 4293, 7155

Step-4: Factors of 21479

List of positive integer factors of 21479 that divides 21465 without a remainder.

1, 47, 457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21465 and 21479. The biggest common factor number is the GCF number.
So the greatest common factor 21465 and 21479 is 1.

Also check out the Least Common Multiple of 21465 and 21479