What is the Greatest Common Factor of 52794 and 52809?

Greatest common factor (GCF) of 52794 and 52809 is 3.

GCF(52794,52809) = 3

We will now calculate the prime factors of 52794 and 52809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52794 and 52809.

How to find the GCF of 52794 and 52809?

We will first find the prime factorization of 52794 and 52809. After we will calculate the factors of 52794 and 52809 and find the biggest common factor number .

Step-1: Prime Factorization of 52794

Prime factors of 52794 are 2, 3, 7, 419. Prime factorization of 52794 in exponential form is:

52794 = 2¹ × 3² × 7¹ × 419¹

Step-2: Prime Factorization of 52809

Prime factors of 52809 are 3, 29, 607. Prime factorization of 52809 in exponential form is:

52809 = 3¹ × 29¹ × 607¹

Step-3: Factors of 52794

List of positive integer factors of 52794 that divides 52794 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 419, 838, 1257, 2514, 2933, 3771, 5866, 7542, 8799, 17598, 26397

Step-4: Factors of 52809

List of positive integer factors of 52809 that divides 52794 without a remainder.

1, 3, 29, 87, 607, 1821, 17603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52794 and 52809. The biggest common factor number is the GCF number.
So the greatest common factor 52794 and 52809 is 3.

Also check out the Least Common Multiple of 52794 and 52809