What is the Greatest Common Factor of 14804 and 14822?

Greatest common factor (GCF) of 14804 and 14822 is 2.

GCF(14804,14822) = 2

We will now calculate the prime factors of 14804 and 14822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14804 and 14822.

How to find the GCF of 14804 and 14822?

We will first find the prime factorization of 14804 and 14822. After we will calculate the factors of 14804 and 14822 and find the biggest common factor number .

Step-1: Prime Factorization of 14804

Prime factors of 14804 are 2, 3701. Prime factorization of 14804 in exponential form is:

14804 = 2² × 3701¹

Step-2: Prime Factorization of 14822

Prime factors of 14822 are 2, 7411. Prime factorization of 14822 in exponential form is:

14822 = 2¹ × 7411¹

Step-3: Factors of 14804

List of positive integer factors of 14804 that divides 14804 without a remainder.

1, 2, 4, 3701, 7402

Step-4: Factors of 14822

List of positive integer factors of 14822 that divides 14804 without a remainder.

1, 2, 7411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14804 and 14822. The biggest common factor number is the GCF number.
So the greatest common factor 14804 and 14822 is 2.

Also check out the Least Common Multiple of 14804 and 14822