What is the Greatest Common Factor of 39678 and 39698?

Greatest common factor (GCF) of 39678 and 39698 is 2.

GCF(39678,39698) = 2

We will now calculate the prime factors of 39678 and 39698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39678 and 39698.

How to find the GCF of 39678 and 39698?

We will first find the prime factorization of 39678 and 39698. After we will calculate the factors of 39678 and 39698 and find the biggest common factor number .

Step-1: Prime Factorization of 39678

Prime factors of 39678 are 2, 3, 17, 389. Prime factorization of 39678 in exponential form is:

39678 = 2¹ × 3¹ × 17¹ × 389¹

Step-2: Prime Factorization of 39698

Prime factors of 39698 are 2, 23, 863. Prime factorization of 39698 in exponential form is:

39698 = 2¹ × 23¹ × 863¹

Step-3: Factors of 39678

List of positive integer factors of 39678 that divides 39678 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 389, 778, 1167, 2334, 6613, 13226, 19839

Step-4: Factors of 39698

List of positive integer factors of 39698 that divides 39678 without a remainder.

1, 2, 23, 46, 863, 1726, 19849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39678 and 39698. The biggest common factor number is the GCF number.
So the greatest common factor 39678 and 39698 is 2.

Also check out the Least Common Multiple of 39678 and 39698