What is the Greatest Common Factor of 59075 and 59095?

Greatest common factor (GCF) of 59075 and 59095 is 5.

GCF(59075,59095) = 5

We will now calculate the prime factors of 59075 and 59095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59075 and 59095.

How to find the GCF of 59075 and 59095?

We will first find the prime factorization of 59075 and 59095. After we will calculate the factors of 59075 and 59095 and find the biggest common factor number .

Step-1: Prime Factorization of 59075

Prime factors of 59075 are 5, 17, 139. Prime factorization of 59075 in exponential form is:

59075 = 5² × 17¹ × 139¹

Step-2: Prime Factorization of 59095

Prime factors of 59095 are 5, 53, 223. Prime factorization of 59095 in exponential form is:

59095 = 5¹ × 53¹ × 223¹

Step-3: Factors of 59075

List of positive integer factors of 59075 that divides 59075 without a remainder.

1, 5, 17, 25, 85, 139, 425, 695, 2363, 3475, 11815

Step-4: Factors of 59095

List of positive integer factors of 59095 that divides 59075 without a remainder.

1, 5, 53, 223, 265, 1115, 11819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59075 and 59095. The biggest common factor number is the GCF number.
So the greatest common factor 59075 and 59095 is 5.

Also check out the Least Common Multiple of 59075 and 59095