What is the Greatest Common Factor of 39879 and 39895?

Greatest common factor (GCF) of 39879 and 39895 is 1.

GCF(39879,39895) = 1

We will now calculate the prime factors of 39879 and 39895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39879 and 39895.

How to find the GCF of 39879 and 39895?

We will first find the prime factorization of 39879 and 39895. After we will calculate the factors of 39879 and 39895 and find the biggest common factor number .

Step-1: Prime Factorization of 39879

Prime factors of 39879 are 3, 7, 211. Prime factorization of 39879 in exponential form is:

39879 = 3³ × 7¹ × 211¹

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 39879

List of positive integer factors of 39879 that divides 39879 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 211, 633, 1477, 1899, 4431, 5697, 13293

Step-4: Factors of 39895

List of positive integer factors of 39895 that divides 39879 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39879 and 39895. The biggest common factor number is the GCF number.
So the greatest common factor 39879 and 39895 is 1.

Also check out the Least Common Multiple of 39879 and 39895