What is the Greatest Common Factor of 32880 and 32891?

Greatest common factor (GCF) of 32880 and 32891 is 1.

GCF(32880,32891) = 1

We will now calculate the prime factors of 32880 and 32891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32880 and 32891.

How to find the GCF of 32880 and 32891?

We will first find the prime factorization of 32880 and 32891. After we will calculate the factors of 32880 and 32891 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32891

Prime factors of 32891 are 31, 1061. Prime factorization of 32891 in exponential form is:

32891 = 31¹ × 1061¹

Step-3: Factors of 32880

List of positive integer factors of 32880 that divides 32880 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

Step-4: Factors of 32891

List of positive integer factors of 32891 that divides 32880 without a remainder.

1, 31, 1061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32880 and 32891. The biggest common factor number is the GCF number.
So the greatest common factor 32880 and 32891 is 1.

Also check out the Least Common Multiple of 32880 and 32891