What is the Greatest Common Factor of 32880 and 32892?

Greatest common factor (GCF) of 32880 and 32892 is 12.

GCF(32880,32892) = 12

We will now calculate the prime factors of 32880 and 32892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32880 and 32892.

How to find the GCF of 32880 and 32892?

We will first find the prime factorization of 32880 and 32892. After we will calculate the factors of 32880 and 32892 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 32892

Prime factors of 32892 are 2, 3, 2741. Prime factorization of 32892 in exponential form is:

32892 = 2² × 3¹ × 2741¹

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 32892

List of positive integer factors of 32892 that divides 32880 without a remainder.

1, 2, 3, 4, 6, 12, 2741, 5482, 8223, 10964, 16446

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32880 and 32892. The biggest common factor number is the GCF number.
So the greatest common factor 32880 and 32892 is 12.

Also check out the Least Common Multiple of 32880 and 32892