What is the Greatest Common Factor of 32660 and 32670?

Greatest common factor (GCF) of 32660 and 32670 is 10.

GCF(32660,32670) = 10

We will now calculate the prime factors of 32660 and 32670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32660 and 32670.

How to find the GCF of 32660 and 32670?

We will first find the prime factorization of 32660 and 32670. After we will calculate the factors of 32660 and 32670 and find the biggest common factor number .

Step-1: Prime Factorization of 32660

Prime factors of 32660 are 2, 5, 23, 71. Prime factorization of 32660 in exponential form is:

32660 = 2² × 5¹ × 23¹ × 71¹

Step-2: Prime Factorization of 32670

Prime factors of 32670 are 2, 3, 5, 11. Prime factorization of 32670 in exponential form is:

32670 = 2¹ × 3³ × 5¹ × 11²

Step-3: Factors of 32660

List of positive integer factors of 32660 that divides 32660 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 71, 92, 115, 142, 230, 284, 355, 460, 710, 1420, 1633, 3266, 6532, 8165, 16330

Step-4: Factors of 32670

List of positive integer factors of 32670 that divides 32660 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 90, 99, 110, 121, 135, 165, 198, 242, 270, 297, 330, 363, 495, 594, 605, 726, 990, 1089, 1210, 1485, 1815, 2178, 2970, 3267, 3630, 5445, 6534, 10890, 16335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32660 and 32670. The biggest common factor number is the GCF number.
So the greatest common factor 32660 and 32670 is 10.

Also check out the Least Common Multiple of 32660 and 32670