What is the Greatest Common Factor of 32865 and 32872?

Greatest common factor (GCF) of 32865 and 32872 is 7.

GCF(32865,32872) = 7

We will now calculate the prime factors of 32865 and 32872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32865 and 32872.

How to find the GCF of 32865 and 32872?

We will first find the prime factorization of 32865 and 32872. After we will calculate the factors of 32865 and 32872 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 32872

Prime factors of 32872 are 2, 7, 587. Prime factorization of 32872 in exponential form is:

32872 = 2³ × 7¹ × 587¹

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 32872

List of positive integer factors of 32872 that divides 32865 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 587, 1174, 2348, 4109, 4696, 8218, 16436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32865 and 32872. The biggest common factor number is the GCF number.
So the greatest common factor 32865 and 32872 is 7.

Also check out the Least Common Multiple of 32865 and 32872