What is the Greatest Common Factor of 59345 and 59365?

Greatest common factor (GCF) of 59345 and 59365 is 5.

GCF(59345,59365) = 5

We will now calculate the prime factors of 59345 and 59365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59345 and 59365.

How to find the GCF of 59345 and 59365?

We will first find the prime factorization of 59345 and 59365. After we will calculate the factors of 59345 and 59365 and find the biggest common factor number .

Step-1: Prime Factorization of 59345

Prime factors of 59345 are 5, 11, 13, 83. Prime factorization of 59345 in exponential form is:

59345 = 5¹ × 11¹ × 13¹ × 83¹

Step-2: Prime Factorization of 59365

Prime factors of 59365 are 5, 31, 383. Prime factorization of 59365 in exponential form is:

59365 = 5¹ × 31¹ × 383¹

Step-3: Factors of 59345

List of positive integer factors of 59345 that divides 59345 without a remainder.

1, 5, 11, 13, 55, 65, 83, 143, 415, 715, 913, 1079, 4565, 5395, 11869

Step-4: Factors of 59365

List of positive integer factors of 59365 that divides 59345 without a remainder.

1, 5, 31, 155, 383, 1915, 11873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59345 and 59365. The biggest common factor number is the GCF number.
So the greatest common factor 59345 and 59365 is 5.

Also check out the Least Common Multiple of 59345 and 59365