What is the Greatest Common Factor of 52365 and 52369?

Greatest common factor (GCF) of 52365 and 52369 is 1.

GCF(52365,52369) = 1

We will now calculate the prime factors of 52365 and 52369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52365 and 52369.

How to find the GCF of 52365 and 52369?

We will first find the prime factorization of 52365 and 52369. After we will calculate the factors of 52365 and 52369 and find the biggest common factor number .

Step-1: Prime Factorization of 52365

Prime factors of 52365 are 3, 5, 3491. Prime factorization of 52365 in exponential form is:

52365 = 3¹ × 5¹ × 3491¹

Step-2: Prime Factorization of 52369

Prime factors of 52369 are 52369. Prime factorization of 52369 in exponential form is:

52369 = 52369¹

Step-3: Factors of 52365

List of positive integer factors of 52365 that divides 52365 without a remainder.

1, 3, 5, 15, 3491, 10473, 17455

Step-4: Factors of 52369

List of positive integer factors of 52369 that divides 52365 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52365 and 52369. The biggest common factor number is the GCF number.
So the greatest common factor 52365 and 52369 is 1.

Also check out the Least Common Multiple of 52365 and 52369