What is the Greatest Common Factor of 52809 and 52817?

Greatest common factor (GCF) of 52809 and 52817 is 1.

GCF(52809,52817) = 1

We will now calculate the prime factors of 52809 and 52817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52809 and 52817.

How to find the GCF of 52809 and 52817?

We will first find the prime factorization of 52809 and 52817. After we will calculate the factors of 52809 and 52817 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52817

Prime factors of 52817 are 52817. Prime factorization of 52817 in exponential form is:

52817 = 52817¹

Step-3: Factors of 52809

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

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

Step-4: Factors of 52817

List of positive integer factors of 52817 that divides 52809 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52809 and 52817. The biggest common factor number is the GCF number.
So the greatest common factor 52809 and 52817 is 1.

Also check out the Least Common Multiple of 52809 and 52817