What is the Greatest Common Factor of 21464 and 21473?

Greatest common factor (GCF) of 21464 and 21473 is 1.

GCF(21464,21473) = 1

We will now calculate the prime factors of 21464 and 21473, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21464 and 21473.

How to find the GCF of 21464 and 21473?

We will first find the prime factorization of 21464 and 21473. After we will calculate the factors of 21464 and 21473 and find the biggest common factor number .

Step-1: Prime Factorization of 21464

Prime factors of 21464 are 2, 2683. Prime factorization of 21464 in exponential form is:

21464 = 2³ × 2683¹

Step-2: Prime Factorization of 21473

Prime factors of 21473 are 109, 197. Prime factorization of 21473 in exponential form is:

21473 = 109¹ × 197¹

Step-3: Factors of 21464

List of positive integer factors of 21464 that divides 21464 without a remainder.

1, 2, 4, 8, 2683, 5366, 10732

Step-4: Factors of 21473

List of positive integer factors of 21473 that divides 21464 without a remainder.

1, 109, 197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21464 and 21473. The biggest common factor number is the GCF number.
So the greatest common factor 21464 and 21473 is 1.

Also check out the Least Common Multiple of 21464 and 21473