What is the Greatest Common Factor of 53175 and 53190?

Greatest common factor (GCF) of 53175 and 53190 is 15.

GCF(53175,53190) = 15

We will now calculate the prime factors of 53175 and 53190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53175 and 53190.

How to find the GCF of 53175 and 53190?

We will first find the prime factorization of 53175 and 53190. After we will calculate the factors of 53175 and 53190 and find the biggest common factor number .

Step-1: Prime Factorization of 53175

Prime factors of 53175 are 3, 5, 709. Prime factorization of 53175 in exponential form is:

53175 = 3¹ × 5² × 709¹

Step-2: Prime Factorization of 53190

Prime factors of 53190 are 2, 3, 5, 197. Prime factorization of 53190 in exponential form is:

53190 = 2¹ × 3³ × 5¹ × 197¹

Step-3: Factors of 53175

List of positive integer factors of 53175 that divides 53175 without a remainder.

1, 3, 5, 15, 25, 75, 709, 2127, 3545, 10635, 17725

Step-4: Factors of 53190

List of positive integer factors of 53190 that divides 53175 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 197, 270, 394, 591, 985, 1182, 1773, 1970, 2955, 3546, 5319, 5910, 8865, 10638, 17730, 26595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53175 and 53190. The biggest common factor number is the GCF number.
So the greatest common factor 53175 and 53190 is 15.

Also check out the Least Common Multiple of 53175 and 53190