What is the Greatest Common Factor of 38539 and 38556?

Greatest common factor (GCF) of 38539 and 38556 is 17.

GCF(38539,38556) = 17

We will now calculate the prime factors of 38539 and 38556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38539 and 38556.

How to find the GCF of 38539 and 38556?

We will first find the prime factorization of 38539 and 38556. After we will calculate the factors of 38539 and 38556 and find the biggest common factor number .

Step-1: Prime Factorization of 38539

Prime factors of 38539 are 17, 2267. Prime factorization of 38539 in exponential form is:

38539 = 17¹ × 2267¹

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 38539

List of positive integer factors of 38539 that divides 38539 without a remainder.

1, 17, 2267

Step-4: Factors of 38556

List of positive integer factors of 38556 that divides 38539 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 38539 and 38556. The biggest common factor number is the GCF number.
So the greatest common factor 38539 and 38556 is 17.

Also check out the Least Common Multiple of 38539 and 38556