What is the Greatest Common Factor of 14788 and 14796?

Greatest common factor (GCF) of 14788 and 14796 is 4.

GCF(14788,14796) = 4

We will now calculate the prime factors of 14788 and 14796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14788 and 14796.

How to find the GCF of 14788 and 14796?

We will first find the prime factorization of 14788 and 14796. After we will calculate the factors of 14788 and 14796 and find the biggest common factor number .

Step-1: Prime Factorization of 14788

Prime factors of 14788 are 2, 3697. Prime factorization of 14788 in exponential form is:

14788 = 2² × 3697¹

Step-2: Prime Factorization of 14796

Prime factors of 14796 are 2, 3, 137. Prime factorization of 14796 in exponential form is:

14796 = 2² × 3³ × 137¹

Step-3: Factors of 14788

List of positive integer factors of 14788 that divides 14788 without a remainder.

1, 2, 4, 3697, 7394

Step-4: Factors of 14796

List of positive integer factors of 14796 that divides 14788 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 137, 274, 411, 548, 822, 1233, 1644, 2466, 3699, 4932, 7398

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14788 and 14796. The biggest common factor number is the GCF number.
So the greatest common factor 14788 and 14796 is 4.

Also check out the Least Common Multiple of 14788 and 14796