What is the Greatest Common Factor of 17792 and 17808?

Greatest common factor (GCF) of 17792 and 17808 is 16.

GCF(17792,17808) = 16

We will now calculate the prime factors of 17792 and 17808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17792 and 17808.

How to find the GCF of 17792 and 17808?

We will first find the prime factorization of 17792 and 17808. After we will calculate the factors of 17792 and 17808 and find the biggest common factor number .

Step-1: Prime Factorization of 17792

Prime factors of 17792 are 2, 139. Prime factorization of 17792 in exponential form is:

17792 = 2⁷ × 139¹

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 17792

List of positive integer factors of 17792 that divides 17792 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 139, 278, 556, 1112, 2224, 4448, 8896

Step-4: Factors of 17808

List of positive integer factors of 17808 that divides 17792 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 17792 and 17808. The biggest common factor number is the GCF number.
So the greatest common factor 17792 and 17808 is 16.

Also check out the Least Common Multiple of 17792 and 17808