What is the Greatest Common Factor of 32875 and 32880?

Greatest common factor (GCF) of 32875 and 32880 is 5.

GCF(32875,32880) = 5

We will now calculate the prime factors of 32875 and 32880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32875 and 32880.

How to find the GCF of 32875 and 32880?

We will first find the prime factorization of 32875 and 32880. After we will calculate the factors of 32875 and 32880 and find the biggest common factor number .

Step-1: Prime Factorization of 32875

Prime factors of 32875 are 5, 263. Prime factorization of 32875 in exponential form is:

32875 = 5³ × 263¹

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 32875

List of positive integer factors of 32875 that divides 32875 without a remainder.

1, 5, 25, 125, 263, 1315, 6575

Step-4: Factors of 32880

List of positive integer factors of 32880 that divides 32875 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 32875 and 32880. The biggest common factor number is the GCF number.
So the greatest common factor 32875 and 32880 is 5.

Also check out the Least Common Multiple of 32875 and 32880