What is the Greatest Common Factor of 52797 and 52815?

Greatest common factor (GCF) of 52797 and 52815 is 3.

GCF(52797,52815) = 3

We will now calculate the prime factors of 52797 and 52815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52797 and 52815.

How to find the GCF of 52797 and 52815?

We will first find the prime factorization of 52797 and 52815. After we will calculate the factors of 52797 and 52815 and find the biggest common factor number .

Step-1: Prime Factorization of 52797

Prime factors of 52797 are 3, 17599. Prime factorization of 52797 in exponential form is:

52797 = 3¹ × 17599¹

Step-2: 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-3: Factors of 52797

List of positive integer factors of 52797 that divides 52797 without a remainder.

1, 3, 17599

Step-4: Factors of 52815

List of positive integer factors of 52815 that divides 52797 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52797 and 52815. The biggest common factor number is the GCF number.
So the greatest common factor 52797 and 52815 is 3.

Also check out the Least Common Multiple of 52797 and 52815