What is the Greatest Common Factor of 59330 and 59335?

Greatest common factor (GCF) of 59330 and 59335 is 5.

GCF(59330,59335) = 5

We will now calculate the prime factors of 59330 and 59335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59330 and 59335.

How to find the GCF of 59330 and 59335?

We will first find the prime factorization of 59330 and 59335. After we will calculate the factors of 59330 and 59335 and find the biggest common factor number .

Step-1: Prime Factorization of 59330

Prime factors of 59330 are 2, 5, 17, 349. Prime factorization of 59330 in exponential form is:

59330 = 2¹ × 5¹ × 17¹ × 349¹

Step-2: Prime Factorization of 59335

Prime factors of 59335 are 5, 11867. Prime factorization of 59335 in exponential form is:

59335 = 5¹ × 11867¹

Step-3: Factors of 59330

List of positive integer factors of 59330 that divides 59330 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 349, 698, 1745, 3490, 5933, 11866, 29665

Step-4: Factors of 59335

List of positive integer factors of 59335 that divides 59330 without a remainder.

1, 5, 11867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59330 and 59335. The biggest common factor number is the GCF number.
So the greatest common factor 59330 and 59335 is 5.

Also check out the Least Common Multiple of 59330 and 59335