What is the Greatest Common Factor of 53175 and 53180?

Greatest common factor (GCF) of 53175 and 53180 is 5.

GCF(53175,53180) = 5

We will now calculate the prime factors of 53175 and 53180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53175 and 53180.

How to find the GCF of 53175 and 53180?

We will first find the prime factorization of 53175 and 53180. After we will calculate the factors of 53175 and 53180 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 53180

Prime factors of 53180 are 2, 5, 2659. Prime factorization of 53180 in exponential form is:

53180 = 2² × 5¹ × 2659¹

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 53180

List of positive integer factors of 53180 that divides 53175 without a remainder.

1, 2, 4, 5, 10, 20, 2659, 5318, 10636, 13295, 26590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53175 and 53180. The biggest common factor number is the GCF number.
So the greatest common factor 53175 and 53180 is 5.

Also check out the Least Common Multiple of 53175 and 53180