What is the Greatest Common Factor of 11814 and 11825?

Greatest common factor (GCF) of 11814 and 11825 is 11.

GCF(11814,11825) = 11

We will now calculate the prime factors of 11814 and 11825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11814 and 11825.

How to find the GCF of 11814 and 11825?

We will first find the prime factorization of 11814 and 11825. After we will calculate the factors of 11814 and 11825 and find the biggest common factor number .

Step-1: Prime Factorization of 11814

Prime factors of 11814 are 2, 3, 11, 179. Prime factorization of 11814 in exponential form is:

11814 = 2¹ × 3¹ × 11¹ × 179¹

Step-2: Prime Factorization of 11825

Prime factors of 11825 are 5, 11, 43. Prime factorization of 11825 in exponential form is:

11825 = 5² × 11¹ × 43¹

Step-3: Factors of 11814

List of positive integer factors of 11814 that divides 11814 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 179, 358, 537, 1074, 1969, 3938, 5907

Step-4: Factors of 11825

List of positive integer factors of 11825 that divides 11814 without a remainder.

1, 5, 11, 25, 43, 55, 215, 275, 473, 1075, 2365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11814 and 11825. The biggest common factor number is the GCF number.
So the greatest common factor 11814 and 11825 is 11.

Also check out the Least Common Multiple of 11814 and 11825