What is the Greatest Common Factor of 83275 and 83280?

Greatest common factor (GCF) of 83275 and 83280 is 5.

GCF(83275,83280) = 5

We will now calculate the prime factors of 83275 and 83280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83275 and 83280.

How to find the GCF of 83275 and 83280?

We will first find the prime factorization of 83275 and 83280. After we will calculate the factors of 83275 and 83280 and find the biggest common factor number .

Step-1: Prime Factorization of 83275

Prime factors of 83275 are 5, 3331. Prime factorization of 83275 in exponential form is:

83275 = 5² × 3331¹

Step-2: 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-3: Factors of 83275

List of positive integer factors of 83275 that divides 83275 without a remainder.

1, 5, 25, 3331, 16655

Step-4: Factors of 83280

List of positive integer factors of 83280 that divides 83275 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83275 and 83280. The biggest common factor number is the GCF number.
So the greatest common factor 83275 and 83280 is 5.

Also check out the Least Common Multiple of 83275 and 83280