What is the Greatest Common Factor of 11869 and 11882?

Greatest common factor (GCF) of 11869 and 11882 is 13.

GCF(11869,11882) = 13

We will now calculate the prime factors of 11869 and 11882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11869 and 11882.

How to find the GCF of 11869 and 11882?

We will first find the prime factorization of 11869 and 11882. After we will calculate the factors of 11869 and 11882 and find the biggest common factor number .

Step-1: Prime Factorization of 11869

Prime factors of 11869 are 11, 13, 83. Prime factorization of 11869 in exponential form is:

11869 = 11¹ × 13¹ × 83¹

Step-2: Prime Factorization of 11882

Prime factors of 11882 are 2, 13, 457. Prime factorization of 11882 in exponential form is:

11882 = 2¹ × 13¹ × 457¹

Step-3: Factors of 11869

List of positive integer factors of 11869 that divides 11869 without a remainder.

1, 11, 13, 83, 143, 913, 1079

Step-4: Factors of 11882

List of positive integer factors of 11882 that divides 11869 without a remainder.

1, 2, 13, 26, 457, 914, 5941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11869 and 11882. The biggest common factor number is the GCF number.
So the greatest common factor 11869 and 11882 is 13.

Also check out the Least Common Multiple of 11869 and 11882