What is the Greatest Common Factor of 21457 and 21471?

Greatest common factor (GCF) of 21457 and 21471 is 1.

GCF(21457,21471) = 1

We will now calculate the prime factors of 21457 and 21471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21457 and 21471.

How to find the GCF of 21457 and 21471?

We will first find the prime factorization of 21457 and 21471. After we will calculate the factors of 21457 and 21471 and find the biggest common factor number .

Step-1: Prime Factorization of 21457

Prime factors of 21457 are 43, 499. Prime factorization of 21457 in exponential form is:

21457 = 43¹ × 499¹

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 21457

List of positive integer factors of 21457 that divides 21457 without a remainder.

1, 43, 499

Step-4: Factors of 21471

List of positive integer factors of 21471 that divides 21457 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21457 and 21471. The biggest common factor number is the GCF number.
So the greatest common factor 21457 and 21471 is 1.

Also check out the Least Common Multiple of 21457 and 21471