What is the Greatest Common Factor of 11874 and 11888?

Greatest common factor (GCF) of 11874 and 11888 is 2.

GCF(11874,11888) = 2

We will now calculate the prime factors of 11874 and 11888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11874 and 11888.

How to find the GCF of 11874 and 11888?

We will first find the prime factorization of 11874 and 11888. After we will calculate the factors of 11874 and 11888 and find the biggest common factor number .

Step-1: Prime Factorization of 11874

Prime factors of 11874 are 2, 3, 1979. Prime factorization of 11874 in exponential form is:

11874 = 2¹ × 3¹ × 1979¹

Step-2: Prime Factorization of 11888

Prime factors of 11888 are 2, 743. Prime factorization of 11888 in exponential form is:

11888 = 2⁴ × 743¹

Step-3: Factors of 11874

List of positive integer factors of 11874 that divides 11874 without a remainder.

1, 2, 3, 6, 1979, 3958, 5937

Step-4: Factors of 11888

List of positive integer factors of 11888 that divides 11874 without a remainder.

1, 2, 4, 8, 16, 743, 1486, 2972, 5944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11874 and 11888. The biggest common factor number is the GCF number.
So the greatest common factor 11874 and 11888 is 2.

Also check out the Least Common Multiple of 11874 and 11888