What is the Greatest Common Factor of 3632 and 3648?

Greatest common factor (GCF) of 3632 and 3648 is 16.

GCF(3632,3648) = 16

We will now calculate the prime factors of 3632 and 3648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3632 and 3648.

How to find the GCF of 3632 and 3648?

We will first find the prime factorization of 3632 and 3648. After we will calculate the factors of 3632 and 3648 and find the biggest common factor number .

Step-1: Prime Factorization of 3632

Prime factors of 3632 are 2, 227. Prime factorization of 3632 in exponential form is:

3632 = 2⁴ × 227¹

Step-2: 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-3: Factors of 3632

List of positive integer factors of 3632 that divides 3632 without a remainder.

1, 2, 4, 8, 16, 227, 454, 908, 1816

Step-4: Factors of 3648

List of positive integer factors of 3648 that divides 3632 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3632 and 3648. The biggest common factor number is the GCF number.
So the greatest common factor 3632 and 3648 is 16.

Also check out the Least Common Multiple of 3632 and 3648