What is the Greatest Common Factor of 11774 and 11788?

Greatest common factor (GCF) of 11774 and 11788 is 14.

GCF(11774,11788) = 14

We will now calculate the prime factors of 11774 and 11788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11774 and 11788.

How to find the GCF of 11774 and 11788?

We will first find the prime factorization of 11774 and 11788. After we will calculate the factors of 11774 and 11788 and find the biggest common factor number .

Step-1: Prime Factorization of 11774

Prime factors of 11774 are 2, 7, 29. Prime factorization of 11774 in exponential form is:

11774 = 2¹ × 7¹ × 29²

Step-2: Prime Factorization of 11788

Prime factors of 11788 are 2, 7, 421. Prime factorization of 11788 in exponential form is:

11788 = 2² × 7¹ × 421¹

Step-3: Factors of 11774

List of positive integer factors of 11774 that divides 11774 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406, 841, 1682, 5887

Step-4: Factors of 11788

List of positive integer factors of 11788 that divides 11774 without a remainder.

1, 2, 4, 7, 14, 28, 421, 842, 1684, 2947, 5894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11774 and 11788. The biggest common factor number is the GCF number.
So the greatest common factor 11774 and 11788 is 14.

Also check out the Least Common Multiple of 11774 and 11788