What is the Greatest Common Factor of 3648 and 3666?

Greatest common factor (GCF) of 3648 and 3666 is 6.

GCF(3648,3666) = 6

We will now calculate the prime factors of 3648 and 3666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3648 and 3666.

How to find the GCF of 3648 and 3666?

We will first find the prime factorization of 3648 and 3666. After we will calculate the factors of 3648 and 3666 and find the biggest common factor number .

Step-1: Prime Factorization of 3648

Prime factors of 3648 are 2, 3, 19. Prime factorization of 3648 in exponential form is:

3648 = 2⁶ × 3¹ × 19¹

Step-2: Prime Factorization of 3666

Prime factors of 3666 are 2, 3, 13, 47. Prime factorization of 3666 in exponential form is:

3666 = 2¹ × 3¹ × 13¹ × 47¹

Step-3: Factors of 3648

List of positive integer factors of 3648 that divides 3648 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 152, 192, 228, 304, 456, 608, 912, 1216, 1824

Step-4: Factors of 3666

List of positive integer factors of 3666 that divides 3648 without a remainder.

1, 2, 3, 6, 13, 26, 39, 47, 78, 94, 141, 282, 611, 1222, 1833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3648 and 3666. The biggest common factor number is the GCF number.
So the greatest common factor 3648 and 3666 is 6.

Also check out the Least Common Multiple of 3648 and 3666