What is the Greatest Common Factor of 38490 and 38496?

Greatest common factor (GCF) of 38490 and 38496 is 6.

GCF(38490,38496) = 6

We will now calculate the prime factors of 38490 and 38496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38490 and 38496.

How to find the GCF of 38490 and 38496?

We will first find the prime factorization of 38490 and 38496. After we will calculate the factors of 38490 and 38496 and find the biggest common factor number .

Step-1: Prime Factorization of 38490

Prime factors of 38490 are 2, 3, 5, 1283. Prime factorization of 38490 in exponential form is:

38490 = 2¹ × 3¹ × 5¹ × 1283¹

Step-2: Prime Factorization of 38496

Prime factors of 38496 are 2, 3, 401. Prime factorization of 38496 in exponential form is:

38496 = 2⁵ × 3¹ × 401¹

Step-3: Factors of 38490

List of positive integer factors of 38490 that divides 38490 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1283, 2566, 3849, 6415, 7698, 12830, 19245

Step-4: Factors of 38496

List of positive integer factors of 38496 that divides 38490 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 401, 802, 1203, 1604, 2406, 3208, 4812, 6416, 9624, 12832, 19248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38490 and 38496. The biggest common factor number is the GCF number.
So the greatest common factor 38490 and 38496 is 6.

Also check out the Least Common Multiple of 38490 and 38496