What is the Greatest Common Factor of 38808 and 38822?

Greatest common factor (GCF) of 38808 and 38822 is 14.

GCF(38808,38822) = 14

We will now calculate the prime factors of 38808 and 38822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38808 and 38822.

How to find the GCF of 38808 and 38822?

We will first find the prime factorization of 38808 and 38822. After we will calculate the factors of 38808 and 38822 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 38822

Prime factors of 38822 are 2, 7, 47, 59. Prime factorization of 38822 in exponential form is:

38822 = 2¹ × 7¹ × 47¹ × 59¹

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 38822

List of positive integer factors of 38822 that divides 38808 without a remainder.

1, 2, 7, 14, 47, 59, 94, 118, 329, 413, 658, 826, 2773, 5546, 19411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38808 and 38822. The biggest common factor number is the GCF number.
So the greatest common factor 38808 and 38822 is 14.

Also check out the Least Common Multiple of 38808 and 38822