What is the Greatest Common Factor of 38538 and 38556?

Greatest common factor (GCF) of 38538 and 38556 is 18.

GCF(38538,38556) = 18

We will now calculate the prime factors of 38538 and 38556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38538 and 38556.

How to find the GCF of 38538 and 38556?

We will first find the prime factorization of 38538 and 38556. After we will calculate the factors of 38538 and 38556 and find the biggest common factor number .

Step-1: Prime Factorization of 38538

Prime factors of 38538 are 2, 3, 2141. Prime factorization of 38538 in exponential form is:

38538 = 2¹ × 3² × 2141¹

Step-2: Prime Factorization of 38556

Prime factors of 38556 are 2, 3, 7, 17. Prime factorization of 38556 in exponential form is:

38556 = 2² × 3⁴ × 7¹ × 17¹

Step-3: Factors of 38538

List of positive integer factors of 38538 that divides 38538 without a remainder.

1, 2, 3, 6, 9, 18, 2141, 4282, 6423, 12846, 19269

Step-4: Factors of 38556

List of positive integer factors of 38556 that divides 38538 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 17, 18, 21, 27, 28, 34, 36, 42, 51, 54, 63, 68, 81, 84, 102, 108, 119, 126, 153, 162, 189, 204, 238, 252, 306, 324, 357, 378, 459, 476, 567, 612, 714, 756, 918, 1071, 1134, 1377, 1428, 1836, 2142, 2268, 2754, 3213, 4284, 5508, 6426, 9639, 12852, 19278

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38538 and 38556. The biggest common factor number is the GCF number.
So the greatest common factor 38538 and 38556 is 18.

Also check out the Least Common Multiple of 38538 and 38556