What is the Greatest Common Factor of 52689 and 52709?

Greatest common factor (GCF) of 52689 and 52709 is 1.

GCF(52689,52709) = 1

We will now calculate the prime factors of 52689 and 52709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52689 and 52709.

How to find the GCF of 52689 and 52709?

We will first find the prime factorization of 52689 and 52709. After we will calculate the factors of 52689 and 52709 and find the biggest common factor number .

Step-1: Prime Factorization of 52689

Prime factors of 52689 are 3, 7, 13, 193. Prime factorization of 52689 in exponential form is:

52689 = 3¹ × 7¹ × 13¹ × 193¹

Step-2: Prime Factorization of 52709

Prime factors of 52709 are 52709. Prime factorization of 52709 in exponential form is:

52709 = 52709¹

Step-3: Factors of 52689

List of positive integer factors of 52689 that divides 52689 without a remainder.

1, 3, 7, 13, 21, 39, 91, 193, 273, 579, 1351, 2509, 4053, 7527, 17563

Step-4: Factors of 52709

List of positive integer factors of 52709 that divides 52689 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52689 and 52709. The biggest common factor number is the GCF number.
So the greatest common factor 52689 and 52709 is 1.

Also check out the Least Common Multiple of 52689 and 52709