What is the Greatest Common Factor of 11344 and 11362?

Greatest common factor (GCF) of 11344 and 11362 is 2.

GCF(11344,11362) = 2

We will now calculate the prime factors of 11344 and 11362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11344 and 11362.

How to find the GCF of 11344 and 11362?

We will first find the prime factorization of 11344 and 11362. After we will calculate the factors of 11344 and 11362 and find the biggest common factor number .

Step-1: Prime Factorization of 11344

Prime factors of 11344 are 2, 709. Prime factorization of 11344 in exponential form is:

11344 = 2⁴ × 709¹

Step-2: Prime Factorization of 11362

Prime factors of 11362 are 2, 13, 19, 23. Prime factorization of 11362 in exponential form is:

11362 = 2¹ × 13¹ × 19¹ × 23¹

Step-3: Factors of 11344

List of positive integer factors of 11344 that divides 11344 without a remainder.

1, 2, 4, 8, 16, 709, 1418, 2836, 5672

Step-4: Factors of 11362

List of positive integer factors of 11362 that divides 11344 without a remainder.

1, 2, 13, 19, 23, 26, 38, 46, 247, 299, 437, 494, 598, 874, 5681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11344 and 11362. The biggest common factor number is the GCF number.
So the greatest common factor 11344 and 11362 is 2.

Also check out the Least Common Multiple of 11344 and 11362