What is the Greatest Common Factor of 39879 and 39893?

Greatest common factor (GCF) of 39879 and 39893 is 7.

GCF(39879,39893) = 7

We will now calculate the prime factors of 39879 and 39893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39879 and 39893.

How to find the GCF of 39879 and 39893?

We will first find the prime factorization of 39879 and 39893. After we will calculate the factors of 39879 and 39893 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 39893

Prime factors of 39893 are 7, 41, 139. Prime factorization of 39893 in exponential form is:

39893 = 7¹ × 41¹ × 139¹

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 39893

List of positive integer factors of 39893 that divides 39879 without a remainder.

1, 7, 41, 139, 287, 973, 5699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39879 and 39893. The biggest common factor number is the GCF number.
So the greatest common factor 39879 and 39893 is 7.

Also check out the Least Common Multiple of 39879 and 39893