What is the Greatest Common Factor of 11425 and 11440?

Greatest common factor (GCF) of 11425 and 11440 is 5.

GCF(11425,11440) = 5

We will now calculate the prime factors of 11425 and 11440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11425 and 11440.

How to find the GCF of 11425 and 11440?

We will first find the prime factorization of 11425 and 11440. After we will calculate the factors of 11425 and 11440 and find the biggest common factor number .

Step-1: Prime Factorization of 11425

Prime factors of 11425 are 5, 457. Prime factorization of 11425 in exponential form is:

11425 = 5² × 457¹

Step-2: 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-3: Factors of 11425

List of positive integer factors of 11425 that divides 11425 without a remainder.

1, 5, 25, 457, 2285

Step-4: Factors of 11440

List of positive integer factors of 11440 that divides 11425 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11425 and 11440. The biggest common factor number is the GCF number.
So the greatest common factor 11425 and 11440 is 5.

Also check out the Least Common Multiple of 11425 and 11440