What is the Greatest Common Factor of 32871 and 32880?

Greatest common factor (GCF) of 32871 and 32880 is 3.

GCF(32871,32880) = 3

We will now calculate the prime factors of 32871 and 32880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32871 and 32880.

How to find the GCF of 32871 and 32880?

We will first find the prime factorization of 32871 and 32880. After we will calculate the factors of 32871 and 32880 and find the biggest common factor number .

Step-1: Prime Factorization of 32871

Prime factors of 32871 are 3, 10957. Prime factorization of 32871 in exponential form is:

32871 = 3¹ × 10957¹

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 32871

List of positive integer factors of 32871 that divides 32871 without a remainder.

1, 3, 10957

Step-4: Factors of 32880

List of positive integer factors of 32880 that divides 32871 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 32871 and 32880. The biggest common factor number is the GCF number.
So the greatest common factor 32871 and 32880 is 3.

Also check out the Least Common Multiple of 32871 and 32880