What is the Greatest Common Factor of 21304 and 21322?

Greatest common factor (GCF) of 21304 and 21322 is 2.

GCF(21304,21322) = 2

We will now calculate the prime factors of 21304 and 21322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21304 and 21322.

How to find the GCF of 21304 and 21322?

We will first find the prime factorization of 21304 and 21322. After we will calculate the factors of 21304 and 21322 and find the biggest common factor number .

Step-1: Prime Factorization of 21304

Prime factors of 21304 are 2, 2663. Prime factorization of 21304 in exponential form is:

21304 = 2³ × 2663¹

Step-2: Prime Factorization of 21322

Prime factors of 21322 are 2, 7, 1523. Prime factorization of 21322 in exponential form is:

21322 = 2¹ × 7¹ × 1523¹

Step-3: Factors of 21304

List of positive integer factors of 21304 that divides 21304 without a remainder.

1, 2, 4, 8, 2663, 5326, 10652

Step-4: Factors of 21322

List of positive integer factors of 21322 that divides 21304 without a remainder.

1, 2, 7, 14, 1523, 3046, 10661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21304 and 21322. The biggest common factor number is the GCF number.
So the greatest common factor 21304 and 21322 is 2.

Also check out the Least Common Multiple of 21304 and 21322