What is the Greatest Common Factor of 32865 and 32880?

Greatest common factor (GCF) of 32865 and 32880 is 15.

GCF(32865,32880) = 15

We will now calculate the prime factors of 32865 and 32880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32865 and 32880.

How to find the GCF of 32865 and 32880?

We will first find the prime factorization of 32865 and 32880. After we will calculate the factors of 32865 and 32880 and find the biggest common factor number .

Step-1: Prime Factorization of 32865

Prime factors of 32865 are 3, 5, 7, 313. Prime factorization of 32865 in exponential form is:

32865 = 3¹ × 5¹ × 7¹ × 313¹

Step-2: Prime Factorization of 32880

Prime factors of 32880 are 2, 3, 5, 137. Prime factorization of 32880 in exponential form is:

32880 = 2⁴ × 3¹ × 5¹ × 137¹

Step-3: Factors of 32865

List of positive integer factors of 32865 that divides 32865 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 313, 939, 1565, 2191, 4695, 6573, 10955

Step-4: Factors of 32880

List of positive integer factors of 32880 that divides 32865 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 137, 240, 274, 411, 548, 685, 822, 1096, 1370, 1644, 2055, 2192, 2740, 3288, 4110, 5480, 6576, 8220, 10960, 16440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32865 and 32880. The biggest common factor number is the GCF number.
So the greatest common factor 32865 and 32880 is 15.

Also check out the Least Common Multiple of 32865 and 32880