What is the Greatest Common Factor of 3678 and 3693?

Greatest common factor (GCF) of 3678 and 3693 is 3.

GCF(3678,3693) = 3

We will now calculate the prime factors of 3678 and 3693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3678 and 3693.

How to find the GCF of 3678 and 3693?

We will first find the prime factorization of 3678 and 3693. After we will calculate the factors of 3678 and 3693 and find the biggest common factor number .

Step-1: Prime Factorization of 3678

Prime factors of 3678 are 2, 3, 613. Prime factorization of 3678 in exponential form is:

3678 = 2¹ × 3¹ × 613¹

Step-2: Prime Factorization of 3693

Prime factors of 3693 are 3, 1231. Prime factorization of 3693 in exponential form is:

3693 = 3¹ × 1231¹

Step-3: Factors of 3678

List of positive integer factors of 3678 that divides 3678 without a remainder.

1, 2, 3, 6, 613, 1226, 1839

Step-4: Factors of 3693

List of positive integer factors of 3693 that divides 3678 without a remainder.

1, 3, 1231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3678 and 3693. The biggest common factor number is the GCF number.
So the greatest common factor 3678 and 3693 is 3.

Also check out the Least Common Multiple of 3678 and 3693