What is the Greatest Common Factor of 11788 and 11800?

Greatest common factor (GCF) of 11788 and 11800 is 4.

GCF(11788,11800) = 4

We will now calculate the prime factors of 11788 and 11800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11788 and 11800.

How to find the GCF of 11788 and 11800?

We will first find the prime factorization of 11788 and 11800. After we will calculate the factors of 11788 and 11800 and find the biggest common factor number .

Step-1: Prime Factorization of 11788

Prime factors of 11788 are 2, 7, 421. Prime factorization of 11788 in exponential form is:

11788 = 2² × 7¹ × 421¹

Step-2: Prime Factorization of 11800

Prime factors of 11800 are 2, 5, 59. Prime factorization of 11800 in exponential form is:

11800 = 2³ × 5² × 59¹

Step-3: Factors of 11788

List of positive integer factors of 11788 that divides 11788 without a remainder.

1, 2, 4, 7, 14, 28, 421, 842, 1684, 2947, 5894

Step-4: Factors of 11800

List of positive integer factors of 11800 that divides 11788 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 59, 100, 118, 200, 236, 295, 472, 590, 1180, 1475, 2360, 2950, 5900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11788 and 11800. The biggest common factor number is the GCF number.
So the greatest common factor 11788 and 11800 is 4.

Also check out the Least Common Multiple of 11788 and 11800