What is the Greatest Common Factor of 2240 and 2250?

Greatest common factor (GCF) of 2240 and 2250 is 10.

GCF(2240,2250) = 10

We will now calculate the prime factors of 2240 and 2250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2240 and 2250.

How to find the GCF of 2240 and 2250?

We will first find the prime factorization of 2240 and 2250. After we will calculate the factors of 2240 and 2250 and find the biggest common factor number .

Step-1: Prime Factorization of 2240

Prime factors of 2240 are 2, 5, 7. Prime factorization of 2240 in exponential form is:

2240 = 2⁶ × 5¹ × 7¹

Step-2: Prime Factorization of 2250

Prime factors of 2250 are 2, 3, 5. Prime factorization of 2250 in exponential form is:

2250 = 2¹ × 3² × 5³

Step-3: Factors of 2240

List of positive integer factors of 2240 that divides 2240 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120

Step-4: Factors of 2250

List of positive integer factors of 2250 that divides 2240 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 750, 1125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2240 and 2250. The biggest common factor number is the GCF number.
So the greatest common factor 2240 and 2250 is 10.

Also check out the Least Common Multiple of 2240 and 2250