What is the Greatest Common Factor of 39888 and 39906?

Greatest common factor (GCF) of 39888 and 39906 is 18.

GCF(39888,39906) = 18

We will now calculate the prime factors of 39888 and 39906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39888 and 39906.

How to find the GCF of 39888 and 39906?

We will first find the prime factorization of 39888 and 39906. After we will calculate the factors of 39888 and 39906 and find the biggest common factor number .

Step-1: Prime Factorization of 39888

Prime factors of 39888 are 2, 3, 277. Prime factorization of 39888 in exponential form is:

39888 = 2⁴ × 3² × 277¹

Step-2: Prime Factorization of 39906

Prime factors of 39906 are 2, 3, 739. Prime factorization of 39906 in exponential form is:

39906 = 2¹ × 3³ × 739¹

Step-3: Factors of 39888

List of positive integer factors of 39888 that divides 39888 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 277, 554, 831, 1108, 1662, 2216, 2493, 3324, 4432, 4986, 6648, 9972, 13296, 19944

Step-4: Factors of 39906

List of positive integer factors of 39906 that divides 39888 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 739, 1478, 2217, 4434, 6651, 13302, 19953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39888 and 39906. The biggest common factor number is the GCF number.
So the greatest common factor 39888 and 39906 is 18.

Also check out the Least Common Multiple of 39888 and 39906