What is the Greatest Common Factor of 39894 and 39902?

Greatest common factor (GCF) of 39894 and 39902 is 2.

GCF(39894,39902) = 2

We will now calculate the prime factors of 39894 and 39902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39894 and 39902.

How to find the GCF of 39894 and 39902?

We will first find the prime factorization of 39894 and 39902. After we will calculate the factors of 39894 and 39902 and find the biggest common factor number .

Step-1: Prime Factorization of 39894

Prime factors of 39894 are 2, 3, 61, 109. Prime factorization of 39894 in exponential form is:

39894 = 2¹ × 3¹ × 61¹ × 109¹

Step-2: Prime Factorization of 39902

Prime factors of 39902 are 2, 71, 281. Prime factorization of 39902 in exponential form is:

39902 = 2¹ × 71¹ × 281¹

Step-3: Factors of 39894

List of positive integer factors of 39894 that divides 39894 without a remainder.

1, 2, 3, 6, 61, 109, 122, 183, 218, 327, 366, 654, 6649, 13298, 19947

Step-4: Factors of 39902

List of positive integer factors of 39902 that divides 39894 without a remainder.

1, 2, 71, 142, 281, 562, 19951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39894 and 39902. The biggest common factor number is the GCF number.
So the greatest common factor 39894 and 39902 is 2.

Also check out the Least Common Multiple of 39894 and 39902