What is the Greatest Common Factor of 38794 and 38808?

Greatest common factor (GCF) of 38794 and 38808 is 14.

GCF(38794,38808) = 14

We will now calculate the prime factors of 38794 and 38808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38794 and 38808.

How to find the GCF of 38794 and 38808?

We will first find the prime factorization of 38794 and 38808. After we will calculate the factors of 38794 and 38808 and find the biggest common factor number .

Step-1: Prime Factorization of 38794

Prime factors of 38794 are 2, 7, 17, 163. Prime factorization of 38794 in exponential form is:

38794 = 2¹ × 7¹ × 17¹ × 163¹

Step-2: Prime Factorization of 38808

Prime factors of 38808 are 2, 3, 7, 11. Prime factorization of 38808 in exponential form is:

38808 = 2³ × 3² × 7² × 11¹

Step-3: Factors of 38794

List of positive integer factors of 38794 that divides 38794 without a remainder.

1, 2, 7, 14, 17, 34, 119, 163, 238, 326, 1141, 2282, 2771, 5542, 19397

Step-4: Factors of 38808

List of positive integer factors of 38808 that divides 38794 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 18, 21, 22, 24, 28, 33, 36, 42, 44, 49, 56, 63, 66, 72, 77, 84, 88, 98, 99, 126, 132, 147, 154, 168, 196, 198, 231, 252, 264, 294, 308, 392, 396, 441, 462, 504, 539, 588, 616, 693, 792, 882, 924, 1078, 1176, 1386, 1617, 1764, 1848, 2156, 2772, 3234, 3528, 4312, 4851, 5544, 6468, 9702, 12936, 19404

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38794 and 38808. The biggest common factor number is the GCF number.
So the greatest common factor 38794 and 38808 is 14.

Also check out the Least Common Multiple of 38794 and 38808