What is the Greatest Common Factor of 11674 and 11687?

Greatest common factor (GCF) of 11674 and 11687 is 13.

GCF(11674,11687) = 13

We will now calculate the prime factors of 11674 and 11687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11674 and 11687.

How to find the GCF of 11674 and 11687?

We will first find the prime factorization of 11674 and 11687. After we will calculate the factors of 11674 and 11687 and find the biggest common factor number .

Step-1: Prime Factorization of 11674

Prime factors of 11674 are 2, 13, 449. Prime factorization of 11674 in exponential form is:

11674 = 2¹ × 13¹ × 449¹

Step-2: Prime Factorization of 11687

Prime factors of 11687 are 13, 29, 31. Prime factorization of 11687 in exponential form is:

11687 = 13¹ × 29¹ × 31¹

Step-3: Factors of 11674

List of positive integer factors of 11674 that divides 11674 without a remainder.

1, 2, 13, 26, 449, 898, 5837

Step-4: Factors of 11687

List of positive integer factors of 11687 that divides 11674 without a remainder.

1, 13, 29, 31, 377, 403, 899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11674 and 11687. The biggest common factor number is the GCF number.
So the greatest common factor 11674 and 11687 is 13.

Also check out the Least Common Multiple of 11674 and 11687