What is the Greatest Common Factor of 11470 and 11488?

Greatest common factor (GCF) of 11470 and 11488 is 2.

GCF(11470,11488) = 2

We will now calculate the prime factors of 11470 and 11488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11470 and 11488.

How to find the GCF of 11470 and 11488?

We will first find the prime factorization of 11470 and 11488. After we will calculate the factors of 11470 and 11488 and find the biggest common factor number .

Step-1: Prime Factorization of 11470

Prime factors of 11470 are 2, 5, 31, 37. Prime factorization of 11470 in exponential form is:

11470 = 2¹ × 5¹ × 31¹ × 37¹

Step-2: Prime Factorization of 11488

Prime factors of 11488 are 2, 359. Prime factorization of 11488 in exponential form is:

11488 = 2⁵ × 359¹

Step-3: Factors of 11470

List of positive integer factors of 11470 that divides 11470 without a remainder.

1, 2, 5, 10, 31, 37, 62, 74, 155, 185, 310, 370, 1147, 2294, 5735

Step-4: Factors of 11488

List of positive integer factors of 11488 that divides 11470 without a remainder.

1, 2, 4, 8, 16, 32, 359, 718, 1436, 2872, 5744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11470 and 11488. The biggest common factor number is the GCF number.
So the greatest common factor 11470 and 11488 is 2.

Also check out the Least Common Multiple of 11470 and 11488