What is the Greatest Common Factor of 11440 and 11450?

Greatest common factor (GCF) of 11440 and 11450 is 10.

GCF(11440,11450) = 10

We will now calculate the prime factors of 11440 and 11450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11440 and 11450.

How to find the GCF of 11440 and 11450?

We will first find the prime factorization of 11440 and 11450. After we will calculate the factors of 11440 and 11450 and find the biggest common factor number .

Step-1: Prime Factorization of 11440

Prime factors of 11440 are 2, 5, 11, 13. Prime factorization of 11440 in exponential form is:

11440 = 2⁴ × 5¹ × 11¹ × 13¹

Step-2: Prime Factorization of 11450

Prime factors of 11450 are 2, 5, 229. Prime factorization of 11450 in exponential form is:

11450 = 2¹ × 5² × 229¹

Step-3: Factors of 11440

List of positive integer factors of 11440 that divides 11440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 13, 16, 20, 22, 26, 40, 44, 52, 55, 65, 80, 88, 104, 110, 130, 143, 176, 208, 220, 260, 286, 440, 520, 572, 715, 880, 1040, 1144, 1430, 2288, 2860, 5720

Step-4: Factors of 11450

List of positive integer factors of 11450 that divides 11440 without a remainder.

1, 2, 5, 10, 25, 50, 229, 458, 1145, 2290, 5725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11440 and 11450. The biggest common factor number is the GCF number.
So the greatest common factor 11440 and 11450 is 10.

Also check out the Least Common Multiple of 11440 and 11450