What is the Greatest Common Factor of 32628 and 32640?

Greatest common factor (GCF) of 32628 and 32640 is 12.

GCF(32628,32640) = 12

We will now calculate the prime factors of 32628 and 32640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32628 and 32640.

How to find the GCF of 32628 and 32640?

We will first find the prime factorization of 32628 and 32640. After we will calculate the factors of 32628 and 32640 and find the biggest common factor number .

Step-1: Prime Factorization of 32628

Prime factors of 32628 are 2, 3, 2719. Prime factorization of 32628 in exponential form is:

32628 = 2² × 3¹ × 2719¹

Step-2: Prime Factorization of 32640

Prime factors of 32640 are 2, 3, 5, 17. Prime factorization of 32640 in exponential form is:

32640 = 2⁷ × 3¹ × 5¹ × 17¹

Step-3: Factors of 32628

List of positive integer factors of 32628 that divides 32628 without a remainder.

1, 2, 3, 4, 6, 12, 2719, 5438, 8157, 10876, 16314

Step-4: Factors of 32640

List of positive integer factors of 32640 that divides 32628 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 32, 34, 40, 48, 51, 60, 64, 68, 80, 85, 96, 102, 120, 128, 136, 160, 170, 192, 204, 240, 255, 272, 320, 340, 384, 408, 480, 510, 544, 640, 680, 816, 960, 1020, 1088, 1360, 1632, 1920, 2040, 2176, 2720, 3264, 4080, 5440, 6528, 8160, 10880, 16320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32628 and 32640. The biggest common factor number is the GCF number.
So the greatest common factor 32628 and 32640 is 12.

Also check out the Least Common Multiple of 32628 and 32640