What is the Greatest Common Factor of 32880 and 32897?

Greatest common factor (GCF) of 32880 and 32897 is 1.

GCF(32880,32897) = 1

We will now calculate the prime factors of 32880 and 32897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32880 and 32897.

How to find the GCF of 32880 and 32897?

We will first find the prime factorization of 32880 and 32897. After we will calculate the factors of 32880 and 32897 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 32897

Prime factors of 32897 are 67, 491. Prime factorization of 32897 in exponential form is:

32897 = 67¹ × 491¹

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 32897

List of positive integer factors of 32897 that divides 32880 without a remainder.

1, 67, 491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32880 and 32897. The biggest common factor number is the GCF number.
So the greatest common factor 32880 and 32897 is 1.

Also check out the Least Common Multiple of 32880 and 32897