What is the Greatest Common Factor of 3618 and 3638?

Greatest common factor (GCF) of 3618 and 3638 is 2.

GCF(3618,3638) = 2

We will now calculate the prime factors of 3618 and 3638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3618 and 3638.

How to find the GCF of 3618 and 3638?

We will first find the prime factorization of 3618 and 3638. After we will calculate the factors of 3618 and 3638 and find the biggest common factor number .

Step-1: Prime Factorization of 3618

Prime factors of 3618 are 2, 3, 67. Prime factorization of 3618 in exponential form is:

3618 = 2¹ × 3³ × 67¹

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 3618

List of positive integer factors of 3618 that divides 3618 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 67, 134, 201, 402, 603, 1206, 1809

Step-4: Factors of 3638

List of positive integer factors of 3638 that divides 3618 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3618 and 3638. The biggest common factor number is the GCF number.
So the greatest common factor 3618 and 3638 is 2.

Also check out the Least Common Multiple of 3618 and 3638