What is the Greatest Common Factor of 11802 and 11816?

Greatest common factor (GCF) of 11802 and 11816 is 14.

GCF(11802,11816) = 14

We will now calculate the prime factors of 11802 and 11816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11802 and 11816.

How to find the GCF of 11802 and 11816?

We will first find the prime factorization of 11802 and 11816. After we will calculate the factors of 11802 and 11816 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 11816

Prime factors of 11816 are 2, 7, 211. Prime factorization of 11816 in exponential form is:

11816 = 2³ × 7¹ × 211¹

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 11816

List of positive integer factors of 11816 that divides 11802 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 211, 422, 844, 1477, 1688, 2954, 5908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11802 and 11816. The biggest common factor number is the GCF number.
So the greatest common factor 11802 and 11816 is 14.

Also check out the Least Common Multiple of 11802 and 11816