What is the Greatest Common Factor of 21465 and 21471?

Greatest common factor (GCF) of 21465 and 21471 is 3.

GCF(21465,21471) = 3

We will now calculate the prime factors of 21465 and 21471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21465 and 21471.

How to find the GCF of 21465 and 21471?

We will first find the prime factorization of 21465 and 21471. After we will calculate the factors of 21465 and 21471 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 21471

Prime factors of 21471 are 3, 17, 421. Prime factorization of 21471 in exponential form is:

21471 = 3¹ × 17¹ × 421¹

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 21471

List of positive integer factors of 21471 that divides 21465 without a remainder.

1, 3, 17, 51, 421, 1263, 7157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21465 and 21471. The biggest common factor number is the GCF number.
So the greatest common factor 21465 and 21471 is 3.

Also check out the Least Common Multiple of 21465 and 21471