What is the Greatest Common Factor of 83280 and 83289?

Greatest common factor (GCF) of 83280 and 83289 is 3.

GCF(83280,83289) = 3

We will now calculate the prime factors of 83280 and 83289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83280 and 83289.

How to find the GCF of 83280 and 83289?

We will first find the prime factorization of 83280 and 83289. After we will calculate the factors of 83280 and 83289 and find the biggest common factor number .

Step-1: Prime Factorization of 83280

Prime factors of 83280 are 2, 3, 5, 347. Prime factorization of 83280 in exponential form is:

83280 = 2⁴ × 3¹ × 5¹ × 347¹

Step-2: Prime Factorization of 83289

Prime factors of 83289 are 3, 27763. Prime factorization of 83289 in exponential form is:

83289 = 3¹ × 27763¹

Step-3: Factors of 83280

List of positive integer factors of 83280 that divides 83280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 347, 694, 1041, 1388, 1735, 2082, 2776, 3470, 4164, 5205, 5552, 6940, 8328, 10410, 13880, 16656, 20820, 27760, 41640

Step-4: Factors of 83289

List of positive integer factors of 83289 that divides 83280 without a remainder.

1, 3, 27763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83280 and 83289. The biggest common factor number is the GCF number.
So the greatest common factor 83280 and 83289 is 3.

Also check out the Least Common Multiple of 83280 and 83289