What is the Greatest Common Factor of 39834 and 39854?

Greatest common factor (GCF) of 39834 and 39854 is 2.

GCF(39834,39854) = 2

We will now calculate the prime factors of 39834 and 39854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39834 and 39854.

How to find the GCF of 39834 and 39854?

We will first find the prime factorization of 39834 and 39854. After we will calculate the factors of 39834 and 39854 and find the biggest common factor number .

Step-1: Prime Factorization of 39834

Prime factors of 39834 are 2, 3, 2213. Prime factorization of 39834 in exponential form is:

39834 = 2¹ × 3² × 2213¹

Step-2: Prime Factorization of 39854

Prime factors of 39854 are 2, 19927. Prime factorization of 39854 in exponential form is:

39854 = 2¹ × 19927¹

Step-3: Factors of 39834

List of positive integer factors of 39834 that divides 39834 without a remainder.

1, 2, 3, 6, 9, 18, 2213, 4426, 6639, 13278, 19917

Step-4: Factors of 39854

List of positive integer factors of 39854 that divides 39834 without a remainder.

1, 2, 19927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39834 and 39854. The biggest common factor number is the GCF number.
So the greatest common factor 39834 and 39854 is 2.

Also check out the Least Common Multiple of 39834 and 39854