What is the Greatest Common Factor of 53170 and 53175?

Greatest common factor (GCF) of 53170 and 53175 is 5.

GCF(53170,53175) = 5

We will now calculate the prime factors of 53170 and 53175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53170 and 53175.

How to find the GCF of 53170 and 53175?

We will first find the prime factorization of 53170 and 53175. After we will calculate the factors of 53170 and 53175 and find the biggest common factor number .

Step-1: Prime Factorization of 53170

Prime factors of 53170 are 2, 5, 13, 409. Prime factorization of 53170 in exponential form is:

53170 = 2¹ × 5¹ × 13¹ × 409¹

Step-2: 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-3: Factors of 53170

List of positive integer factors of 53170 that divides 53170 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 409, 818, 2045, 4090, 5317, 10634, 26585

Step-4: Factors of 53175

List of positive integer factors of 53175 that divides 53170 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53170 and 53175. The biggest common factor number is the GCF number.
So the greatest common factor 53170 and 53175 is 5.

Also check out the Least Common Multiple of 53170 and 53175