What is the Greatest Common Factor of 3616 and 3632?

Greatest common factor (GCF) of 3616 and 3632 is 16.

GCF(3616,3632) = 16

We will now calculate the prime factors of 3616 and 3632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3616 and 3632.

How to find the GCF of 3616 and 3632?

We will first find the prime factorization of 3616 and 3632. After we will calculate the factors of 3616 and 3632 and find the biggest common factor number .

Step-1: Prime Factorization of 3616

Prime factors of 3616 are 2, 113. Prime factorization of 3616 in exponential form is:

3616 = 2⁵ × 113¹

Step-2: Prime Factorization of 3632

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

3632 = 2⁴ × 227¹

Step-3: Factors of 3616

List of positive integer factors of 3616 that divides 3616 without a remainder.

1, 2, 4, 8, 16, 32, 113, 226, 452, 904, 1808

Step-4: Factors of 3632

List of positive integer factors of 3632 that divides 3616 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3616 and 3632. The biggest common factor number is the GCF number.
So the greatest common factor 3616 and 3632 is 16.

Also check out the Least Common Multiple of 3616 and 3632