What is the Greatest Common Factor of 3672 and 3681?

Greatest common factor (GCF) of 3672 and 3681 is 9.

GCF(3672,3681) = 9

We will now calculate the prime factors of 3672 and 3681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3672 and 3681.

How to find the GCF of 3672 and 3681?

We will first find the prime factorization of 3672 and 3681. After we will calculate the factors of 3672 and 3681 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 3681

Prime factors of 3681 are 3, 409. Prime factorization of 3681 in exponential form is:

3681 = 3² × 409¹

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 3681

List of positive integer factors of 3681 that divides 3672 without a remainder.

1, 3, 9, 409, 1227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3672 and 3681. The biggest common factor number is the GCF number.
So the greatest common factor 3672 and 3681 is 9.

Also check out the Least Common Multiple of 3672 and 3681