What is the Greatest Common Factor of 39678 and 39693?

Greatest common factor (GCF) of 39678 and 39693 is 3.

GCF(39678,39693) = 3

We will now calculate the prime factors of 39678 and 39693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39678 and 39693.

How to find the GCF of 39678 and 39693?

We will first find the prime factorization of 39678 and 39693. After we will calculate the factors of 39678 and 39693 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 39693

Prime factors of 39693 are 3, 101, 131. Prime factorization of 39693 in exponential form is:

39693 = 3¹ × 101¹ × 131¹

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 39693

List of positive integer factors of 39693 that divides 39678 without a remainder.

1, 3, 101, 131, 303, 393, 13231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39678 and 39693. The biggest common factor number is the GCF number.
So the greatest common factor 39678 and 39693 is 3.

Also check out the Least Common Multiple of 39678 and 39693