What is the Greatest Common Factor of 3648 and 3653?

Greatest common factor (GCF) of 3648 and 3653 is 1.

GCF(3648,3653) = 1

We will now calculate the prime factors of 3648 and 3653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3648 and 3653.

How to find the GCF of 3648 and 3653?

We will first find the prime factorization of 3648 and 3653. After we will calculate the factors of 3648 and 3653 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 3653

Prime factors of 3653 are 13, 281. Prime factorization of 3653 in exponential form is:

3653 = 13¹ × 281¹

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 3653

List of positive integer factors of 3653 that divides 3648 without a remainder.

1, 13, 281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3648 and 3653. The biggest common factor number is the GCF number.
So the greatest common factor 3648 and 3653 is 1.

Also check out the Least Common Multiple of 3648 and 3653