What is the Greatest Common Factor of 11816 and 11825?

Greatest common factor (GCF) of 11816 and 11825 is 1.

GCF(11816,11825) = 1

We will now calculate the prime factors of 11816 and 11825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11816 and 11825.

How to find the GCF of 11816 and 11825?

We will first find the prime factorization of 11816 and 11825. After we will calculate the factors of 11816 and 11825 and find the biggest common factor number .

Step-1: Prime Factorization of 11816

Prime factors of 11816 are 2, 7, 211. Prime factorization of 11816 in exponential form is:

11816 = 2³ × 7¹ × 211¹

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 11816

List of positive integer factors of 11816 that divides 11816 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 211, 422, 844, 1477, 1688, 2954, 5908

Step-4: Factors of 11825

List of positive integer factors of 11825 that divides 11816 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 11816 and 11825. The biggest common factor number is the GCF number.
So the greatest common factor 11816 and 11825 is 1.

Also check out the Least Common Multiple of 11816 and 11825