What is the Greatest Common Factor of 52815 and 52827?

Greatest common factor (GCF) of 52815 and 52827 is 3.

GCF(52815,52827) = 3

We will now calculate the prime factors of 52815 and 52827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52815 and 52827.

How to find the GCF of 52815 and 52827?

We will first find the prime factorization of 52815 and 52827. After we will calculate the factors of 52815 and 52827 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 52827

Prime factors of 52827 are 3, 17609. Prime factorization of 52827 in exponential form is:

52827 = 3¹ × 17609¹

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 52827

List of positive integer factors of 52827 that divides 52815 without a remainder.

1, 3, 17609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52815 and 52827. The biggest common factor number is the GCF number.
So the greatest common factor 52815 and 52827 is 3.

Also check out the Least Common Multiple of 52815 and 52827