What is the Greatest Common Factor of 11596 and 11608?

Greatest common factor (GCF) of 11596 and 11608 is 4.

GCF(11596,11608) = 4

We will now calculate the prime factors of 11596 and 11608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11596 and 11608.

How to find the GCF of 11596 and 11608?

We will first find the prime factorization of 11596 and 11608. After we will calculate the factors of 11596 and 11608 and find the biggest common factor number .

Step-1: Prime Factorization of 11596

Prime factors of 11596 are 2, 13, 223. Prime factorization of 11596 in exponential form is:

11596 = 2² × 13¹ × 223¹

Step-2: Prime Factorization of 11608

Prime factors of 11608 are 2, 1451. Prime factorization of 11608 in exponential form is:

11608 = 2³ × 1451¹

Step-3: Factors of 11596

List of positive integer factors of 11596 that divides 11596 without a remainder.

1, 2, 4, 13, 26, 52, 223, 446, 892, 2899, 5798

Step-4: Factors of 11608

List of positive integer factors of 11608 that divides 11596 without a remainder.

1, 2, 4, 8, 1451, 2902, 5804

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11596 and 11608. The biggest common factor number is the GCF number.
So the greatest common factor 11596 and 11608 is 4.

Also check out the Least Common Multiple of 11596 and 11608