What is the Greatest Common Factor of 83280 and 83285?

Greatest common factor (GCF) of 83280 and 83285 is 5.

GCF(83280,83285) = 5

We will now calculate the prime factors of 83280 and 83285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83280 and 83285.

How to find the GCF of 83280 and 83285?

We will first find the prime factorization of 83280 and 83285. After we will calculate the factors of 83280 and 83285 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 83285

Prime factors of 83285 are 5, 16657. Prime factorization of 83285 in exponential form is:

83285 = 5¹ × 16657¹

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 83285

List of positive integer factors of 83285 that divides 83280 without a remainder.

1, 5, 16657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83280 and 83285. The biggest common factor number is the GCF number.
So the greatest common factor 83280 and 83285 is 5.

Also check out the Least Common Multiple of 83280 and 83285