What is the Greatest Common Factor of 11802 and 11808?

Greatest common factor (GCF) of 11802 and 11808 is 6.

GCF(11802,11808) = 6

We will now calculate the prime factors of 11802 and 11808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11802 and 11808.

How to find the GCF of 11802 and 11808?

We will first find the prime factorization of 11802 and 11808. After we will calculate the factors of 11802 and 11808 and find the biggest common factor number .

Step-1: Prime Factorization of 11802

Prime factors of 11802 are 2, 3, 7, 281. Prime factorization of 11802 in exponential form is:

11802 = 2¹ × 3¹ × 7¹ × 281¹

Step-2: Prime Factorization of 11808

Prime factors of 11808 are 2, 3, 41. Prime factorization of 11808 in exponential form is:

11808 = 2⁵ × 3² × 41¹

Step-3: Factors of 11802

List of positive integer factors of 11802 that divides 11802 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 281, 562, 843, 1686, 1967, 3934, 5901

Step-4: Factors of 11808

List of positive integer factors of 11808 that divides 11802 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 41, 48, 72, 82, 96, 123, 144, 164, 246, 288, 328, 369, 492, 656, 738, 984, 1312, 1476, 1968, 2952, 3936, 5904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11802 and 11808. The biggest common factor number is the GCF number.
So the greatest common factor 11802 and 11808 is 6.

Also check out the Least Common Multiple of 11802 and 11808