What is the Greatest Common Factor of 1888 and 1908?

Greatest common factor (GCF) of 1888 and 1908 is 4.

GCF(1888,1908) = 4

We will now calculate the prime factors of 1888 and 1908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1888 and 1908.

How to find the GCF of 1888 and 1908?

We will first find the prime factorization of 1888 and 1908. After we will calculate the factors of 1888 and 1908 and find the biggest common factor number .

Step-1: Prime Factorization of 1888

Prime factors of 1888 are 2, 59. Prime factorization of 1888 in exponential form is:

1888 = 2⁵ × 59¹

Step-2: Prime Factorization of 1908

Prime factors of 1908 are 2, 3, 53. Prime factorization of 1908 in exponential form is:

1908 = 2² × 3² × 53¹

Step-3: Factors of 1888

List of positive integer factors of 1888 that divides 1888 without a remainder.

1, 2, 4, 8, 16, 32, 59, 118, 236, 472, 944

Step-4: Factors of 1908

List of positive integer factors of 1908 that divides 1888 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 53, 106, 159, 212, 318, 477, 636, 954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1888 and 1908. The biggest common factor number is the GCF number.
So the greatest common factor 1888 and 1908 is 4.

Also check out the Least Common Multiple of 1888 and 1908