What is the Greatest Common Factor of 38556 and 38570?

Greatest common factor (GCF) of 38556 and 38570 is 14.

GCF(38556,38570) = 14

We will now calculate the prime factors of 38556 and 38570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38556 and 38570.

How to find the GCF of 38556 and 38570?

We will first find the prime factorization of 38556 and 38570. After we will calculate the factors of 38556 and 38570 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38570

Prime factors of 38570 are 2, 5, 7, 19, 29. Prime factorization of 38570 in exponential form is:

38570 = 2¹ × 5¹ × 7¹ × 19¹ × 29¹

Step-3: Factors of 38556

List of positive integer factors of 38556 that divides 38556 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

Step-4: Factors of 38570

List of positive integer factors of 38570 that divides 38556 without a remainder.

1, 2, 5, 7, 10, 14, 19, 29, 35, 38, 58, 70, 95, 133, 145, 190, 203, 266, 290, 406, 551, 665, 1015, 1102, 1330, 2030, 2755, 3857, 5510, 7714, 19285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38556 and 38570. The biggest common factor number is the GCF number.
So the greatest common factor 38556 and 38570 is 14.

Also check out the Least Common Multiple of 38556 and 38570