What is the Greatest Common Factor of 21465 and 21470?

Greatest common factor (GCF) of 21465 and 21470 is 5.

GCF(21465,21470) = 5

We will now calculate the prime factors of 21465 and 21470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21465 and 21470.

How to find the GCF of 21465 and 21470?

We will first find the prime factorization of 21465 and 21470. After we will calculate the factors of 21465 and 21470 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 21470

Prime factors of 21470 are 2, 5, 19, 113. Prime factorization of 21470 in exponential form is:

21470 = 2¹ × 5¹ × 19¹ × 113¹

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 21470

List of positive integer factors of 21470 that divides 21465 without a remainder.

1, 2, 5, 10, 19, 38, 95, 113, 190, 226, 565, 1130, 2147, 4294, 10735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21465 and 21470. The biggest common factor number is the GCF number.
So the greatest common factor 21465 and 21470 is 5.

Also check out the Least Common Multiple of 21465 and 21470