What is the Greatest Common Factor of 11900 and 11914?

Greatest common factor (GCF) of 11900 and 11914 is 14.

GCF(11900,11914) = 14

We will now calculate the prime factors of 11900 and 11914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11900 and 11914.

How to find the GCF of 11900 and 11914?

We will first find the prime factorization of 11900 and 11914. After we will calculate the factors of 11900 and 11914 and find the biggest common factor number .

Step-1: Prime Factorization of 11900

Prime factors of 11900 are 2, 5, 7, 17. Prime factorization of 11900 in exponential form is:

11900 = 2² × 5² × 7¹ × 17¹

Step-2: Prime Factorization of 11914

Prime factors of 11914 are 2, 7, 23, 37. Prime factorization of 11914 in exponential form is:

11914 = 2¹ × 7¹ × 23¹ × 37¹

Step-3: Factors of 11900

List of positive integer factors of 11900 that divides 11900 without a remainder.

1, 2, 4, 5, 7, 10, 14, 17, 20, 25, 28, 34, 35, 50, 68, 70, 85, 100, 119, 140, 170, 175, 238, 340, 350, 425, 476, 595, 700, 850, 1190, 1700, 2380, 2975, 5950

Step-4: Factors of 11914

List of positive integer factors of 11914 that divides 11900 without a remainder.

1, 2, 7, 14, 23, 37, 46, 74, 161, 259, 322, 518, 851, 1702, 5957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11900 and 11914. The biggest common factor number is the GCF number.
So the greatest common factor 11900 and 11914 is 14.

Also check out the Least Common Multiple of 11900 and 11914