What is the Greatest Common Factor of 11296 and 11300?

Greatest common factor (GCF) of 11296 and 11300 is 4.

GCF(11296,11300) = 4

We will now calculate the prime factors of 11296 and 11300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11296 and 11300.

How to find the GCF of 11296 and 11300?

We will first find the prime factorization of 11296 and 11300. After we will calculate the factors of 11296 and 11300 and find the biggest common factor number .

Step-1: Prime Factorization of 11296

Prime factors of 11296 are 2, 353. Prime factorization of 11296 in exponential form is:

11296 = 2⁵ × 353¹

Step-2: Prime Factorization of 11300

Prime factors of 11300 are 2, 5, 113. Prime factorization of 11300 in exponential form is:

11300 = 2² × 5² × 113¹

Step-3: Factors of 11296

List of positive integer factors of 11296 that divides 11296 without a remainder.

1, 2, 4, 8, 16, 32, 353, 706, 1412, 2824, 5648

Step-4: Factors of 11300

List of positive integer factors of 11300 that divides 11296 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 113, 226, 452, 565, 1130, 2260, 2825, 5650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11296 and 11300. The biggest common factor number is the GCF number.
So the greatest common factor 11296 and 11300 is 4.

Also check out the Least Common Multiple of 11296 and 11300