What is the Greatest Common Factor of 39882 and 39899?

Greatest common factor (GCF) of 39882 and 39899 is 17.

GCF(39882,39899) = 17

We will now calculate the prime factors of 39882 and 39899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39882 and 39899.

How to find the GCF of 39882 and 39899?

We will first find the prime factorization of 39882 and 39899. After we will calculate the factors of 39882 and 39899 and find the biggest common factor number .

Step-1: Prime Factorization of 39882

Prime factors of 39882 are 2, 3, 17, 23. Prime factorization of 39882 in exponential form is:

39882 = 2¹ × 3¹ × 17² × 23¹

Step-2: Prime Factorization of 39899

Prime factors of 39899 are 17, 2347. Prime factorization of 39899 in exponential form is:

39899 = 17¹ × 2347¹

Step-3: Factors of 39882

List of positive integer factors of 39882 that divides 39882 without a remainder.

1, 2, 3, 6, 17, 23, 34, 46, 51, 69, 102, 138, 289, 391, 578, 782, 867, 1173, 1734, 2346, 6647, 13294, 19941

Step-4: Factors of 39899

List of positive integer factors of 39899 that divides 39882 without a remainder.

1, 17, 2347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39882 and 39899. The biggest common factor number is the GCF number.
So the greatest common factor 39882 and 39899 is 17.

Also check out the Least Common Multiple of 39882 and 39899