What is the Greatest Common Factor of 53618 and 53637?

Greatest common factor (GCF) of 53618 and 53637 is 19.

GCF(53618,53637) = 19

We will now calculate the prime factors of 53618 and 53637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53618 and 53637.

How to find the GCF of 53618 and 53637?

We will first find the prime factorization of 53618 and 53637. After we will calculate the factors of 53618 and 53637 and find the biggest common factor number .

Step-1: Prime Factorization of 53618

Prime factors of 53618 are 2, 17, 19, 83. Prime factorization of 53618 in exponential form is:

53618 = 2¹ × 17¹ × 19¹ × 83¹

Step-2: Prime Factorization of 53637

Prime factors of 53637 are 3, 19, 941. Prime factorization of 53637 in exponential form is:

53637 = 3¹ × 19¹ × 941¹

Step-3: Factors of 53618

List of positive integer factors of 53618 that divides 53618 without a remainder.

1, 2, 17, 19, 34, 38, 83, 166, 323, 646, 1411, 1577, 2822, 3154, 26809

Step-4: Factors of 53637

List of positive integer factors of 53637 that divides 53618 without a remainder.

1, 3, 19, 57, 941, 2823, 17879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53618 and 53637. The biggest common factor number is the GCF number.
So the greatest common factor 53618 and 53637 is 19.

Also check out the Least Common Multiple of 53618 and 53637