What is the Greatest Common Factor of 2280 and 2290?

Greatest common factor (GCF) of 2280 and 2290 is 10.

GCF(2280,2290) = 10

We will now calculate the prime factors of 2280 and 2290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2280 and 2290.

How to find the GCF of 2280 and 2290?

We will first find the prime factorization of 2280 and 2290. After we will calculate the factors of 2280 and 2290 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 2290

Prime factors of 2290 are 2, 5, 229. Prime factorization of 2290 in exponential form is:

2290 = 2¹ × 5¹ × 229¹

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 2290

List of positive integer factors of 2290 that divides 2280 without a remainder.

1, 2, 5, 10, 229, 458, 1145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2280 and 2290. The biggest common factor number is the GCF number.
So the greatest common factor 2280 and 2290 is 10.

Also check out the Least Common Multiple of 2280 and 2290