What is the Greatest Common Factor of 39888 and 39895?

Greatest common factor (GCF) of 39888 and 39895 is 1.

GCF(39888,39895) = 1

We will now calculate the prime factors of 39888 and 39895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39888 and 39895.

How to find the GCF of 39888 and 39895?

We will first find the prime factorization of 39888 and 39895. After we will calculate the factors of 39888 and 39895 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 39895

Prime factors of 39895 are 5, 79, 101. Prime factorization of 39895 in exponential form is:

39895 = 5¹ × 79¹ × 101¹

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 39895

List of positive integer factors of 39895 that divides 39888 without a remainder.

1, 5, 79, 101, 395, 505, 7979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39888 and 39895. The biggest common factor number is the GCF number.
So the greatest common factor 39888 and 39895 is 1.

Also check out the Least Common Multiple of 39888 and 39895