What is the Greatest Common Factor of 32490 and 32496?

Greatest common factor (GCF) of 32490 and 32496 is 6.

GCF(32490,32496) = 6

We will now calculate the prime factors of 32490 and 32496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32490 and 32496.

How to find the GCF of 32490 and 32496?

We will first find the prime factorization of 32490 and 32496. After we will calculate the factors of 32490 and 32496 and find the biggest common factor number .

Step-1: Prime Factorization of 32490

Prime factors of 32490 are 2, 3, 5, 19. Prime factorization of 32490 in exponential form is:

32490 = 2¹ × 3² × 5¹ × 19²

Step-2: Prime Factorization of 32496

Prime factors of 32496 are 2, 3, 677. Prime factorization of 32496 in exponential form is:

32496 = 2⁴ × 3¹ × 677¹

Step-3: Factors of 32490

List of positive integer factors of 32490 that divides 32490 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 38, 45, 57, 90, 95, 114, 171, 190, 285, 342, 361, 570, 722, 855, 1083, 1710, 1805, 2166, 3249, 3610, 5415, 6498, 10830, 16245

Step-4: Factors of 32496

List of positive integer factors of 32496 that divides 32490 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 677, 1354, 2031, 2708, 4062, 5416, 8124, 10832, 16248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32490 and 32496. The biggest common factor number is the GCF number.
So the greatest common factor 32490 and 32496 is 6.

Also check out the Least Common Multiple of 32490 and 32496