What is the Greatest Common Factor of 11496 and 11505?

Greatest common factor (GCF) of 11496 and 11505 is 3.

GCF(11496,11505) = 3

We will now calculate the prime factors of 11496 and 11505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11496 and 11505.

How to find the GCF of 11496 and 11505?

We will first find the prime factorization of 11496 and 11505. After we will calculate the factors of 11496 and 11505 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 11505

Prime factors of 11505 are 3, 5, 13, 59. Prime factorization of 11505 in exponential form is:

11505 = 3¹ × 5¹ × 13¹ × 59¹

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 11505

List of positive integer factors of 11505 that divides 11496 without a remainder.

1, 3, 5, 13, 15, 39, 59, 65, 177, 195, 295, 767, 885, 2301, 3835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11496 and 11505. The biggest common factor number is the GCF number.
So the greatest common factor 11496 and 11505 is 3.

Also check out the Least Common Multiple of 11496 and 11505