What is the Greatest Common Factor of 3630 and 3642?

Greatest common factor (GCF) of 3630 and 3642 is 6.

GCF(3630,3642) = 6

We will now calculate the prime factors of 3630 and 3642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3630 and 3642.

How to find the GCF of 3630 and 3642?

We will first find the prime factorization of 3630 and 3642. After we will calculate the factors of 3630 and 3642 and find the biggest common factor number .

Step-1: Prime Factorization of 3630

Prime factors of 3630 are 2, 3, 5, 11. Prime factorization of 3630 in exponential form is:

3630 = 2¹ × 3¹ × 5¹ × 11²

Step-2: Prime Factorization of 3642

Prime factors of 3642 are 2, 3, 607. Prime factorization of 3642 in exponential form is:

3642 = 2¹ × 3¹ × 607¹

Step-3: Factors of 3630

List of positive integer factors of 3630 that divides 3630 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815

Step-4: Factors of 3642

List of positive integer factors of 3642 that divides 3630 without a remainder.

1, 2, 3, 6, 607, 1214, 1821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3630 and 3642. The biggest common factor number is the GCF number.
So the greatest common factor 3630 and 3642 is 6.

Also check out the Least Common Multiple of 3630 and 3642