What is the Greatest Common Factor of 2280 and 2285?

Greatest common factor (GCF) of 2280 and 2285 is 5.

GCF(2280,2285) = 5

We will now calculate the prime factors of 2280 and 2285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2280 and 2285.

How to find the GCF of 2280 and 2285?

We will first find the prime factorization of 2280 and 2285. After we will calculate the factors of 2280 and 2285 and find the biggest common factor number .

Step-1: Prime Factorization of 2280

Prime factors of 2280 are 2, 3, 5, 19. Prime factorization of 2280 in exponential form is:

2280 = 2³ × 3¹ × 5¹ × 19¹

Step-2: Prime Factorization of 2285

Prime factors of 2285 are 5, 457. Prime factorization of 2285 in exponential form is:

2285 = 5¹ × 457¹

Step-3: Factors of 2280

List of positive integer factors of 2280 that divides 2280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 30, 38, 40, 57, 60, 76, 95, 114, 120, 152, 190, 228, 285, 380, 456, 570, 760, 1140

Step-4: Factors of 2285

List of positive integer factors of 2285 that divides 2280 without a remainder.

1, 5, 457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2280 and 2285. The biggest common factor number is the GCF number.
So the greatest common factor 2280 and 2285 is 5.

Also check out the Least Common Multiple of 2280 and 2285