What is the Greatest Common Factor of 32880 and 32898?

Greatest common factor (GCF) of 32880 and 32898 is 6.

GCF(32880,32898) = 6

We will now calculate the prime factors of 32880 and 32898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32880 and 32898.

How to find the GCF of 32880 and 32898?

We will first find the prime factorization of 32880 and 32898. After we will calculate the factors of 32880 and 32898 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 32898

Prime factors of 32898 are 2, 3, 5483. Prime factorization of 32898 in exponential form is:

32898 = 2¹ × 3¹ × 5483¹

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 32898

List of positive integer factors of 32898 that divides 32880 without a remainder.

1, 2, 3, 6, 5483, 10966, 16449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32880 and 32898. The biggest common factor number is the GCF number.
So the greatest common factor 32880 and 32898 is 6.

Also check out the Least Common Multiple of 32880 and 32898