What is the Greatest Common Factor of 38808 and 38826?

Greatest common factor (GCF) of 38808 and 38826 is 18.

GCF(38808,38826) = 18

We will now calculate the prime factors of 38808 and 38826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38808 and 38826.

How to find the GCF of 38808 and 38826?

We will first find the prime factorization of 38808 and 38826. After we will calculate the factors of 38808 and 38826 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 38826

Prime factors of 38826 are 2, 3, 719. Prime factorization of 38826 in exponential form is:

38826 = 2¹ × 3³ × 719¹

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 38826

List of positive integer factors of 38826 that divides 38808 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 719, 1438, 2157, 4314, 6471, 12942, 19413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38808 and 38826. The biggest common factor number is the GCF number.
So the greatest common factor 38808 and 38826 is 18.

Also check out the Least Common Multiple of 38808 and 38826