What is the Greatest Common Factor of 11890 and 11900?

Greatest common factor (GCF) of 11890 and 11900 is 10.

GCF(11890,11900) = 10

We will now calculate the prime factors of 11890 and 11900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11890 and 11900.

How to find the GCF of 11890 and 11900?

We will first find the prime factorization of 11890 and 11900. After we will calculate the factors of 11890 and 11900 and find the biggest common factor number .

Step-1: Prime Factorization of 11890

Prime factors of 11890 are 2, 5, 29, 41. Prime factorization of 11890 in exponential form is:

11890 = 2¹ × 5¹ × 29¹ × 41¹

Step-2: 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-3: Factors of 11890

List of positive integer factors of 11890 that divides 11890 without a remainder.

1, 2, 5, 10, 29, 41, 58, 82, 145, 205, 290, 410, 1189, 2378, 5945

Step-4: Factors of 11900

List of positive integer factors of 11900 that divides 11890 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11890 and 11900. The biggest common factor number is the GCF number.
So the greatest common factor 11890 and 11900 is 10.

Also check out the Least Common Multiple of 11890 and 11900