What is the Greatest Common Factor of 83280 and 83284?

Greatest common factor (GCF) of 83280 and 83284 is 4.

GCF(83280,83284) = 4

We will now calculate the prime factors of 83280 and 83284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83280 and 83284.

How to find the GCF of 83280 and 83284?

We will first find the prime factorization of 83280 and 83284. After we will calculate the factors of 83280 and 83284 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 83284

Prime factors of 83284 are 2, 47, 443. Prime factorization of 83284 in exponential form is:

83284 = 2² × 47¹ × 443¹

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 83284

List of positive integer factors of 83284 that divides 83280 without a remainder.

1, 2, 4, 47, 94, 188, 443, 886, 1772, 20821, 41642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83280 and 83284. The biggest common factor number is the GCF number.
So the greatest common factor 83280 and 83284 is 4.

Also check out the Least Common Multiple of 83280 and 83284