What is the Greatest Common Factor of 21494 and 21499?

Greatest common factor (GCF) of 21494 and 21499 is 1.

GCF(21494,21499) = 1

We will now calculate the prime factors of 21494 and 21499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21494 and 21499.

How to find the GCF of 21494 and 21499?

We will first find the prime factorization of 21494 and 21499. After we will calculate the factors of 21494 and 21499 and find the biggest common factor number .

Step-1: Prime Factorization of 21494

Prime factors of 21494 are 2, 11, 977. Prime factorization of 21494 in exponential form is:

21494 = 2¹ × 11¹ × 977¹

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 21494

List of positive integer factors of 21494 that divides 21494 without a remainder.

1, 2, 11, 22, 977, 1954, 10747

Step-4: Factors of 21499

List of positive integer factors of 21499 that divides 21494 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21494 and 21499. The biggest common factor number is the GCF number.
So the greatest common factor 21494 and 21499 is 1.

Also check out the Least Common Multiple of 21494 and 21499