What is the Greatest Common Factor of 11429 and 11440?

Greatest common factor (GCF) of 11429 and 11440 is 11.

GCF(11429,11440) = 11

We will now calculate the prime factors of 11429 and 11440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11429 and 11440.

How to find the GCF of 11429 and 11440?

We will first find the prime factorization of 11429 and 11440. After we will calculate the factors of 11429 and 11440 and find the biggest common factor number .

Step-1: Prime Factorization of 11429

Prime factors of 11429 are 11, 1039. Prime factorization of 11429 in exponential form is:

11429 = 11¹ × 1039¹

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 11429

List of positive integer factors of 11429 that divides 11429 without a remainder.

1, 11, 1039

Step-4: Factors of 11440

List of positive integer factors of 11440 that divides 11429 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 11429 and 11440. The biggest common factor number is the GCF number.
So the greatest common factor 11429 and 11440 is 11.

Also check out the Least Common Multiple of 11429 and 11440