What is the Greatest Common Factor of 11496 and 11504?

Greatest common factor (GCF) of 11496 and 11504 is 8.

GCF(11496,11504) = 8

We will now calculate the prime factors of 11496 and 11504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11496 and 11504.

How to find the GCF of 11496 and 11504?

We will first find the prime factorization of 11496 and 11504. After we will calculate the factors of 11496 and 11504 and find the biggest common factor number .

Step-1: Prime Factorization of 11496

Prime factors of 11496 are 2, 3, 479. Prime factorization of 11496 in exponential form is:

11496 = 2³ × 3¹ × 479¹

Step-2: Prime Factorization of 11504

Prime factors of 11504 are 2, 719. Prime factorization of 11504 in exponential form is:

11504 = 2⁴ × 719¹

Step-3: Factors of 11496

List of positive integer factors of 11496 that divides 11496 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 479, 958, 1437, 1916, 2874, 3832, 5748

Step-4: Factors of 11504

List of positive integer factors of 11504 that divides 11496 without a remainder.

1, 2, 4, 8, 16, 719, 1438, 2876, 5752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11496 and 11504. The biggest common factor number is the GCF number.
So the greatest common factor 11496 and 11504 is 8.

Also check out the Least Common Multiple of 11496 and 11504