What is the Greatest Common Factor of 17796 and 17808?

Greatest common factor (GCF) of 17796 and 17808 is 12.

GCF(17796,17808) = 12

We will now calculate the prime factors of 17796 and 17808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17796 and 17808.

How to find the GCF of 17796 and 17808?

We will first find the prime factorization of 17796 and 17808. After we will calculate the factors of 17796 and 17808 and find the biggest common factor number .

Step-1: Prime Factorization of 17796

Prime factors of 17796 are 2, 3, 1483. Prime factorization of 17796 in exponential form is:

17796 = 2² × 3¹ × 1483¹

Step-2: Prime Factorization of 17808

Prime factors of 17808 are 2, 3, 7, 53. Prime factorization of 17808 in exponential form is:

17808 = 2⁴ × 3¹ × 7¹ × 53¹

Step-3: Factors of 17796

List of positive integer factors of 17796 that divides 17796 without a remainder.

1, 2, 3, 4, 6, 12, 1483, 2966, 4449, 5932, 8898

Step-4: Factors of 17808

List of positive integer factors of 17808 that divides 17796 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 53, 56, 84, 106, 112, 159, 168, 212, 318, 336, 371, 424, 636, 742, 848, 1113, 1272, 1484, 2226, 2544, 2968, 4452, 5936, 8904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17796 and 17808. The biggest common factor number is the GCF number.
So the greatest common factor 17796 and 17808 is 12.

Also check out the Least Common Multiple of 17796 and 17808