What is the Greatest Common Factor of 59605 and 59618?

Greatest common factor (GCF) of 59605 and 59618 is 13.

GCF(59605,59618) = 13

We will now calculate the prime factors of 59605 and 59618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59605 and 59618.

How to find the GCF of 59605 and 59618?

We will first find the prime factorization of 59605 and 59618. After we will calculate the factors of 59605 and 59618 and find the biggest common factor number .

Step-1: Prime Factorization of 59605

Prime factors of 59605 are 5, 7, 13, 131. Prime factorization of 59605 in exponential form is:

59605 = 5¹ × 7¹ × 13¹ × 131¹

Step-2: Prime Factorization of 59618

Prime factors of 59618 are 2, 13, 2293. Prime factorization of 59618 in exponential form is:

59618 = 2¹ × 13¹ × 2293¹

Step-3: Factors of 59605

List of positive integer factors of 59605 that divides 59605 without a remainder.

1, 5, 7, 13, 35, 65, 91, 131, 455, 655, 917, 1703, 4585, 8515, 11921

Step-4: Factors of 59618

List of positive integer factors of 59618 that divides 59605 without a remainder.

1, 2, 13, 26, 2293, 4586, 29809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59605 and 59618. The biggest common factor number is the GCF number.
So the greatest common factor 59605 and 59618 is 13.

Also check out the Least Common Multiple of 59605 and 59618