What is the Greatest Common Factor of 6669 and 6688?

Greatest common factor (GCF) of 6669 and 6688 is 19.

GCF(6669,6688) = 19

We will now calculate the prime factors of 6669 and 6688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6669 and 6688.

How to find the GCF of 6669 and 6688?

We will first find the prime factorization of 6669 and 6688. After we will calculate the factors of 6669 and 6688 and find the biggest common factor number .

Step-1: Prime Factorization of 6669

Prime factors of 6669 are 3, 13, 19. Prime factorization of 6669 in exponential form is:

6669 = 3³ × 13¹ × 19¹

Step-2: Prime Factorization of 6688

Prime factors of 6688 are 2, 11, 19. Prime factorization of 6688 in exponential form is:

6688 = 2⁵ × 11¹ × 19¹

Step-3: Factors of 6669

List of positive integer factors of 6669 that divides 6669 without a remainder.

1, 3, 9, 13, 19, 27, 39, 57, 117, 171, 247, 351, 513, 741, 2223

Step-4: Factors of 6688

List of positive integer factors of 6688 that divides 6669 without a remainder.

1, 2, 4, 8, 11, 16, 19, 22, 32, 38, 44, 76, 88, 152, 176, 209, 304, 352, 418, 608, 836, 1672, 3344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6669 and 6688. The biggest common factor number is the GCF number.
So the greatest common factor 6669 and 6688 is 19.

Also check out the Least Common Multiple of 6669 and 6688