What is the Greatest Common Factor of 36618 and 36635?

Greatest common factor (GCF) of 36618 and 36635 is 17.

GCF(36618,36635) = 17

We will now calculate the prime factors of 36618 and 36635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36618 and 36635.

How to find the GCF of 36618 and 36635?

We will first find the prime factorization of 36618 and 36635. After we will calculate the factors of 36618 and 36635 and find the biggest common factor number .

Step-1: Prime Factorization of 36618

Prime factors of 36618 are 2, 3, 17, 359. Prime factorization of 36618 in exponential form is:

36618 = 2¹ × 3¹ × 17¹ × 359¹

Step-2: Prime Factorization of 36635

Prime factors of 36635 are 5, 17, 431. Prime factorization of 36635 in exponential form is:

36635 = 5¹ × 17¹ × 431¹

Step-3: Factors of 36618

List of positive integer factors of 36618 that divides 36618 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 359, 718, 1077, 2154, 6103, 12206, 18309

Step-4: Factors of 36635

List of positive integer factors of 36635 that divides 36618 without a remainder.

1, 5, 17, 85, 431, 2155, 7327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36618 and 36635. The biggest common factor number is the GCF number.
So the greatest common factor 36618 and 36635 is 17.

Also check out the Least Common Multiple of 36618 and 36635