What is the Greatest Common Factor of 32656 and 32670?

Greatest common factor (GCF) of 32656 and 32670 is 2.

GCF(32656,32670) = 2

We will now calculate the prime factors of 32656 and 32670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32656 and 32670.

How to find the GCF of 32656 and 32670?

We will first find the prime factorization of 32656 and 32670. After we will calculate the factors of 32656 and 32670 and find the biggest common factor number .

Step-1: Prime Factorization of 32656

Prime factors of 32656 are 2, 13, 157. Prime factorization of 32656 in exponential form is:

32656 = 2⁴ × 13¹ × 157¹

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 32656

List of positive integer factors of 32656 that divides 32656 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 157, 208, 314, 628, 1256, 2041, 2512, 4082, 8164, 16328

Step-4: Factors of 32670

List of positive integer factors of 32670 that divides 32656 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 32656 and 32670. The biggest common factor number is the GCF number.
So the greatest common factor 32656 and 32670 is 2.

Also check out the Least Common Multiple of 32656 and 32670