What is the Greatest Common Factor of 52549 and 52559?

Greatest common factor (GCF) of 52549 and 52559 is 1.

GCF(52549,52559) = 1

We will now calculate the prime factors of 52549 and 52559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52549 and 52559.

How to find the GCF of 52549 and 52559?

We will first find the prime factorization of 52549 and 52559. After we will calculate the factors of 52549 and 52559 and find the biggest common factor number .

Step-1: Prime Factorization of 52549

Prime factors of 52549 are 7, 7507. Prime factorization of 52549 in exponential form is:

52549 = 7¹ × 7507¹

Step-2: Prime Factorization of 52559

Prime factors of 52559 are 13, 311. Prime factorization of 52559 in exponential form is:

52559 = 13² × 311¹

Step-3: Factors of 52549

List of positive integer factors of 52549 that divides 52549 without a remainder.

1, 7, 7507

Step-4: Factors of 52559

List of positive integer factors of 52559 that divides 52549 without a remainder.

1, 13, 169, 311, 4043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52549 and 52559. The biggest common factor number is the GCF number.
So the greatest common factor 52549 and 52559 is 1.

Also check out the Least Common Multiple of 52549 and 52559