What is the Greatest Common Factor of 52815 and 52830?

Greatest common factor (GCF) of 52815 and 52830 is 15.

GCF(52815,52830) = 15

We will now calculate the prime factors of 52815 and 52830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52815 and 52830.

How to find the GCF of 52815 and 52830?

We will first find the prime factorization of 52815 and 52830. After we will calculate the factors of 52815 and 52830 and find the biggest common factor number .

Step-1: Prime Factorization of 52815

Prime factors of 52815 are 3, 5, 7, 503. Prime factorization of 52815 in exponential form is:

52815 = 3¹ × 5¹ × 7¹ × 503¹

Step-2: Prime Factorization of 52830

Prime factors of 52830 are 2, 3, 5, 587. Prime factorization of 52830 in exponential form is:

52830 = 2¹ × 3² × 5¹ × 587¹

Step-3: Factors of 52815

List of positive integer factors of 52815 that divides 52815 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 503, 1509, 2515, 3521, 7545, 10563, 17605

Step-4: Factors of 52830

List of positive integer factors of 52830 that divides 52815 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 587, 1174, 1761, 2935, 3522, 5283, 5870, 8805, 10566, 17610, 26415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52815 and 52830. The biggest common factor number is the GCF number.
So the greatest common factor 52815 and 52830 is 15.

Also check out the Least Common Multiple of 52815 and 52830