What is the Greatest Common Factor of 3672 and 3678?

Greatest common factor (GCF) of 3672 and 3678 is 6.

GCF(3672,3678) = 6

We will now calculate the prime factors of 3672 and 3678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3672 and 3678.

How to find the GCF of 3672 and 3678?

We will first find the prime factorization of 3672 and 3678. After we will calculate the factors of 3672 and 3678 and find the biggest common factor number .

Step-1: Prime Factorization of 3672

Prime factors of 3672 are 2, 3, 17. Prime factorization of 3672 in exponential form is:

3672 = 2³ × 3³ × 17¹

Step-2: 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-3: Factors of 3672

List of positive integer factors of 3672 that divides 3672 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 102, 108, 136, 153, 204, 216, 306, 408, 459, 612, 918, 1224, 1836

Step-4: Factors of 3678

List of positive integer factors of 3678 that divides 3672 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3672 and 3678. The biggest common factor number is the GCF number.
So the greatest common factor 3672 and 3678 is 6.

Also check out the Least Common Multiple of 3672 and 3678