What is the Greatest Common Factor of 3628 and 3638?

Greatest common factor (GCF) of 3628 and 3638 is 2.

GCF(3628,3638) = 2

We will now calculate the prime factors of 3628 and 3638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3628 and 3638.

How to find the GCF of 3628 and 3638?

We will first find the prime factorization of 3628 and 3638. After we will calculate the factors of 3628 and 3638 and find the biggest common factor number .

Step-1: Prime Factorization of 3628

Prime factors of 3628 are 2, 907. Prime factorization of 3628 in exponential form is:

3628 = 2² × 907¹

Step-2: Prime Factorization of 3638

Prime factors of 3638 are 2, 17, 107. Prime factorization of 3638 in exponential form is:

3638 = 2¹ × 17¹ × 107¹

Step-3: Factors of 3628

List of positive integer factors of 3628 that divides 3628 without a remainder.

1, 2, 4, 907, 1814

Step-4: Factors of 3638

List of positive integer factors of 3638 that divides 3628 without a remainder.

1, 2, 17, 34, 107, 214, 1819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3628 and 3638. The biggest common factor number is the GCF number.
So the greatest common factor 3628 and 3638 is 2.

Also check out the Least Common Multiple of 3628 and 3638