What is the Greatest Common Factor of 32470 and 32490?

Greatest common factor (GCF) of 32470 and 32490 is 10.

GCF(32470,32490) = 10

We will now calculate the prime factors of 32470 and 32490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32470 and 32490.

How to find the GCF of 32470 and 32490?

We will first find the prime factorization of 32470 and 32490. After we will calculate the factors of 32470 and 32490 and find the biggest common factor number .

Step-1: Prime Factorization of 32470

Prime factors of 32470 are 2, 5, 17, 191. Prime factorization of 32470 in exponential form is:

32470 = 2¹ × 5¹ × 17¹ × 191¹

Step-2: 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-3: Factors of 32470

List of positive integer factors of 32470 that divides 32470 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 191, 382, 955, 1910, 3247, 6494, 16235

Step-4: Factors of 32490

List of positive integer factors of 32490 that divides 32470 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32470 and 32490. The biggest common factor number is the GCF number.
So the greatest common factor 32470 and 32490 is 10.

Also check out the Least Common Multiple of 32470 and 32490