What is the Greatest Common Factor of 52345 and 52363?

Greatest common factor (GCF) of 52345 and 52363 is 1.

GCF(52345,52363) = 1

We will now calculate the prime factors of 52345 and 52363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52345 and 52363.

How to find the GCF of 52345 and 52363?

We will first find the prime factorization of 52345 and 52363. After we will calculate the factors of 52345 and 52363 and find the biggest common factor number .

Step-1: Prime Factorization of 52345

Prime factors of 52345 are 5, 19, 29. Prime factorization of 52345 in exponential form is:

52345 = 5¹ × 19² × 29¹

Step-2: Prime Factorization of 52363

Prime factors of 52363 are 52363. Prime factorization of 52363 in exponential form is:

52363 = 52363¹

Step-3: Factors of 52345

List of positive integer factors of 52345 that divides 52345 without a remainder.

1, 5, 19, 29, 95, 145, 361, 551, 1805, 2755, 10469

Step-4: Factors of 52363

List of positive integer factors of 52363 that divides 52345 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52345 and 52363. The biggest common factor number is the GCF number.
So the greatest common factor 52345 and 52363 is 1.

Also check out the Least Common Multiple of 52345 and 52363