What is the Greatest Common Factor of 52801 and 52821?

Greatest common factor (GCF) of 52801 and 52821 is 1.

GCF(52801,52821) = 1

We will now calculate the prime factors of 52801 and 52821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52801 and 52821.

How to find the GCF of 52801 and 52821?

We will first find the prime factorization of 52801 and 52821. After we will calculate the factors of 52801 and 52821 and find the biggest common factor number .

Step-1: Prime Factorization of 52801

Prime factors of 52801 are 7, 19, 397. Prime factorization of 52801 in exponential form is:

52801 = 7¹ × 19¹ × 397¹

Step-2: Prime Factorization of 52821

Prime factors of 52821 are 3, 5869. Prime factorization of 52821 in exponential form is:

52821 = 3² × 5869¹

Step-3: Factors of 52801

List of positive integer factors of 52801 that divides 52801 without a remainder.

1, 7, 19, 133, 397, 2779, 7543

Step-4: Factors of 52821

List of positive integer factors of 52821 that divides 52801 without a remainder.

1, 3, 9, 5869, 17607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52801 and 52821. The biggest common factor number is the GCF number.
So the greatest common factor 52801 and 52821 is 1.

Also check out the Least Common Multiple of 52801 and 52821