What is the Greatest Common Factor of 11850 and 11870?

Greatest common factor (GCF) of 11850 and 11870 is 10.

GCF(11850,11870) = 10

We will now calculate the prime factors of 11850 and 11870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11850 and 11870.

How to find the GCF of 11850 and 11870?

We will first find the prime factorization of 11850 and 11870. After we will calculate the factors of 11850 and 11870 and find the biggest common factor number .

Step-1: Prime Factorization of 11850

Prime factors of 11850 are 2, 3, 5, 79. Prime factorization of 11850 in exponential form is:

11850 = 2¹ × 3¹ × 5² × 79¹

Step-2: Prime Factorization of 11870

Prime factors of 11870 are 2, 5, 1187. Prime factorization of 11870 in exponential form is:

11870 = 2¹ × 5¹ × 1187¹

Step-3: Factors of 11850

List of positive integer factors of 11850 that divides 11850 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 79, 150, 158, 237, 395, 474, 790, 1185, 1975, 2370, 3950, 5925

Step-4: Factors of 11870

List of positive integer factors of 11870 that divides 11850 without a remainder.

1, 2, 5, 10, 1187, 2374, 5935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11850 and 11870. The biggest common factor number is the GCF number.
So the greatest common factor 11850 and 11870 is 10.

Also check out the Least Common Multiple of 11850 and 11870