What is the Greatest Common Factor of 11427 and 11440?

Greatest common factor (GCF) of 11427 and 11440 is 13.

GCF(11427,11440) = 13

We will now calculate the prime factors of 11427 and 11440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11427 and 11440.

How to find the GCF of 11427 and 11440?

We will first find the prime factorization of 11427 and 11440. After we will calculate the factors of 11427 and 11440 and find the biggest common factor number .

Step-1: Prime Factorization of 11427

Prime factors of 11427 are 3, 13, 293. Prime factorization of 11427 in exponential form is:

11427 = 3¹ × 13¹ × 293¹

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 11427

List of positive integer factors of 11427 that divides 11427 without a remainder.

1, 3, 13, 39, 293, 879, 3809

Step-4: Factors of 11440

List of positive integer factors of 11440 that divides 11427 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 11427 and 11440. The biggest common factor number is the GCF number.
So the greatest common factor 11427 and 11440 is 13.

Also check out the Least Common Multiple of 11427 and 11440