What is the Greatest Common Factor of 21484 and 21499?

Greatest common factor (GCF) of 21484 and 21499 is 1.

GCF(21484,21499) = 1

We will now calculate the prime factors of 21484 and 21499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21484 and 21499.

How to find the GCF of 21484 and 21499?

We will first find the prime factorization of 21484 and 21499. After we will calculate the factors of 21484 and 21499 and find the biggest common factor number .

Step-1: Prime Factorization of 21484

Prime factors of 21484 are 2, 41, 131. Prime factorization of 21484 in exponential form is:

21484 = 2² × 41¹ × 131¹

Step-2: Prime Factorization of 21499

Prime factors of 21499 are 21499. Prime factorization of 21499 in exponential form is:

21499 = 21499¹

Step-3: Factors of 21484

List of positive integer factors of 21484 that divides 21484 without a remainder.

1, 2, 4, 41, 82, 131, 164, 262, 524, 5371, 10742

Step-4: Factors of 21499

List of positive integer factors of 21499 that divides 21484 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21484 and 21499. The biggest common factor number is the GCF number.
So the greatest common factor 21484 and 21499 is 1.

Also check out the Least Common Multiple of 21484 and 21499