What is the Greatest Common Factor of 11420 and 11440?

Greatest common factor (GCF) of 11420 and 11440 is 20.

GCF(11420,11440) = 20

We will now calculate the prime factors of 11420 and 11440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11420 and 11440.

How to find the GCF of 11420 and 11440?

We will first find the prime factorization of 11420 and 11440. After we will calculate the factors of 11420 and 11440 and find the biggest common factor number .

Step-1: Prime Factorization of 11420

Prime factors of 11420 are 2, 5, 571. Prime factorization of 11420 in exponential form is:

11420 = 2² × 5¹ × 571¹

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 11420

List of positive integer factors of 11420 that divides 11420 without a remainder.

1, 2, 4, 5, 10, 20, 571, 1142, 2284, 2855, 5710

Step-4: Factors of 11440

List of positive integer factors of 11440 that divides 11420 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 11420 and 11440. The biggest common factor number is the GCF number.
So the greatest common factor 11420 and 11440 is 20.

Also check out the Least Common Multiple of 11420 and 11440