What is the Greatest Common Factor of 52821 and 52840?

Greatest common factor (GCF) of 52821 and 52840 is 1.

GCF(52821,52840) = 1

We will now calculate the prime factors of 52821 and 52840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52821 and 52840.

How to find the GCF of 52821 and 52840?

We will first find the prime factorization of 52821 and 52840. After we will calculate the factors of 52821 and 52840 and find the biggest common factor number .

Step-1: Prime Factorization of 52821

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

52821 = 3² × 5869¹

Step-2: Prime Factorization of 52840

Prime factors of 52840 are 2, 5, 1321. Prime factorization of 52840 in exponential form is:

52840 = 2³ × 5¹ × 1321¹

Step-3: Factors of 52821

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

1, 3, 9, 5869, 17607

Step-4: Factors of 52840

List of positive integer factors of 52840 that divides 52821 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1321, 2642, 5284, 6605, 10568, 13210, 26420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52821 and 52840. The biggest common factor number is the GCF number.
So the greatest common factor 52821 and 52840 is 1.

Also check out the Least Common Multiple of 52821 and 52840