What is the Greatest Common Factor of 14778 and 14787?

Greatest common factor (GCF) of 14778 and 14787 is 9.

GCF(14778,14787) = 9

We will now calculate the prime factors of 14778 and 14787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14778 and 14787.

How to find the GCF of 14778 and 14787?

We will first find the prime factorization of 14778 and 14787. After we will calculate the factors of 14778 and 14787 and find the biggest common factor number .

Step-1: Prime Factorization of 14778

Prime factors of 14778 are 2, 3, 821. Prime factorization of 14778 in exponential form is:

14778 = 2¹ × 3² × 821¹

Step-2: Prime Factorization of 14787

Prime factors of 14787 are 3, 31, 53. Prime factorization of 14787 in exponential form is:

14787 = 3² × 31¹ × 53¹

Step-3: Factors of 14778

List of positive integer factors of 14778 that divides 14778 without a remainder.

1, 2, 3, 6, 9, 18, 821, 1642, 2463, 4926, 7389

Step-4: Factors of 14787

List of positive integer factors of 14787 that divides 14778 without a remainder.

1, 3, 9, 31, 53, 93, 159, 279, 477, 1643, 4929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14778 and 14787. The biggest common factor number is the GCF number.
So the greatest common factor 14778 and 14787 is 9.

Also check out the Least Common Multiple of 14778 and 14787