What is the Greatest Common Factor of 38808 and 38819?

Greatest common factor (GCF) of 38808 and 38819 is 11.

GCF(38808,38819) = 11

We will now calculate the prime factors of 38808 and 38819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38808 and 38819.

How to find the GCF of 38808 and 38819?

We will first find the prime factorization of 38808 and 38819. After we will calculate the factors of 38808 and 38819 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38819

Prime factors of 38819 are 11, 3529. Prime factorization of 38819 in exponential form is:

38819 = 11¹ × 3529¹

Step-3: Factors of 38808

List of positive integer factors of 38808 that divides 38808 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

Step-4: Factors of 38819

List of positive integer factors of 38819 that divides 38808 without a remainder.

1, 11, 3529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38808 and 38819. The biggest common factor number is the GCF number.
So the greatest common factor 38808 and 38819 is 11.

Also check out the Least Common Multiple of 38808 and 38819