What is the Greatest Common Factor of 59175 and 59190?

Greatest common factor (GCF) of 59175 and 59190 is 15.

GCF(59175,59190) = 15

We will now calculate the prime factors of 59175 and 59190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59175 and 59190.

How to find the GCF of 59175 and 59190?

We will first find the prime factorization of 59175 and 59190. After we will calculate the factors of 59175 and 59190 and find the biggest common factor number .

Step-1: Prime Factorization of 59175

Prime factors of 59175 are 3, 5, 263. Prime factorization of 59175 in exponential form is:

59175 = 3² × 5² × 263¹

Step-2: Prime Factorization of 59190

Prime factors of 59190 are 2, 3, 5, 1973. Prime factorization of 59190 in exponential form is:

59190 = 2¹ × 3¹ × 5¹ × 1973¹

Step-3: Factors of 59175

List of positive integer factors of 59175 that divides 59175 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 263, 789, 1315, 2367, 3945, 6575, 11835, 19725

Step-4: Factors of 59190

List of positive integer factors of 59190 that divides 59175 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1973, 3946, 5919, 9865, 11838, 19730, 29595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59175 and 59190. The biggest common factor number is the GCF number.
So the greatest common factor 59175 and 59190 is 15.

Also check out the Least Common Multiple of 59175 and 59190