What is the Greatest Common Factor of 19618 and 19635?

Greatest common factor (GCF) of 19618 and 19635 is 17.

GCF(19618,19635) = 17

We will now calculate the prime factors of 19618 and 19635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19618 and 19635.

How to find the GCF of 19618 and 19635?

We will first find the prime factorization of 19618 and 19635. After we will calculate the factors of 19618 and 19635 and find the biggest common factor number .

Step-1: Prime Factorization of 19618

Prime factors of 19618 are 2, 17, 577. Prime factorization of 19618 in exponential form is:

19618 = 2¹ × 17¹ × 577¹

Step-2: Prime Factorization of 19635

Prime factors of 19635 are 3, 5, 7, 11, 17. Prime factorization of 19635 in exponential form is:

19635 = 3¹ × 5¹ × 7¹ × 11¹ × 17¹

Step-3: Factors of 19618

List of positive integer factors of 19618 that divides 19618 without a remainder.

1, 2, 17, 34, 577, 1154, 9809

Step-4: Factors of 19635

List of positive integer factors of 19635 that divides 19618 without a remainder.

1, 3, 5, 7, 11, 15, 17, 21, 33, 35, 51, 55, 77, 85, 105, 119, 165, 187, 231, 255, 357, 385, 561, 595, 935, 1155, 1309, 1785, 2805, 3927, 6545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19618 and 19635. The biggest common factor number is the GCF number.
So the greatest common factor 19618 and 19635 is 17.

Also check out the Least Common Multiple of 19618 and 19635