What is the Greatest Common Factor of 2240 and 2252?

Greatest common factor (GCF) of 2240 and 2252 is 4.

GCF(2240,2252) = 4

We will now calculate the prime factors of 2240 and 2252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2240 and 2252.

How to find the GCF of 2240 and 2252?

We will first find the prime factorization of 2240 and 2252. After we will calculate the factors of 2240 and 2252 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 2252

Prime factors of 2252 are 2, 563. Prime factorization of 2252 in exponential form is:

2252 = 2² × 563¹

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 2252

List of positive integer factors of 2252 that divides 2240 without a remainder.

1, 2, 4, 563, 1126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2240 and 2252. The biggest common factor number is the GCF number.
So the greatest common factor 2240 and 2252 is 4.

Also check out the Least Common Multiple of 2240 and 2252