What is the Greatest Common Factor of 14812 and 14822?

Greatest common factor (GCF) of 14812 and 14822 is 2.

GCF(14812,14822) = 2

We will now calculate the prime factors of 14812 and 14822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14812 and 14822.

How to find the GCF of 14812 and 14822?

We will first find the prime factorization of 14812 and 14822. After we will calculate the factors of 14812 and 14822 and find the biggest common factor number .

Step-1: Prime Factorization of 14812

Prime factors of 14812 are 2, 7, 23. Prime factorization of 14812 in exponential form is:

14812 = 2² × 7¹ × 23²

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 14812

List of positive integer factors of 14812 that divides 14812 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 529, 644, 1058, 2116, 3703, 7406

Step-4: Factors of 14822

List of positive integer factors of 14822 that divides 14812 without a remainder.

1, 2, 7411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14812 and 14822. The biggest common factor number is the GCF number.
So the greatest common factor 14812 and 14822 is 2.

Also check out the Least Common Multiple of 14812 and 14822