What is the Greatest Common Factor of 32640 and 32653?

Greatest common factor (GCF) of 32640 and 32653 is 1.

GCF(32640,32653) = 1

We will now calculate the prime factors of 32640 and 32653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32640 and 32653.

How to find the GCF of 32640 and 32653?

We will first find the prime factorization of 32640 and 32653. After we will calculate the factors of 32640 and 32653 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32653

Prime factors of 32653 are 32653. Prime factorization of 32653 in exponential form is:

32653 = 32653¹

Step-3: Factors of 32640

List of positive integer factors of 32640 that divides 32640 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

Step-4: Factors of 32653

List of positive integer factors of 32653 that divides 32640 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32640 and 32653. The biggest common factor number is the GCF number.
So the greatest common factor 32640 and 32653 is 1.

Also check out the Least Common Multiple of 32640 and 32653