What is the Greatest Common Factor of 25365 and 25369?

Greatest common factor (GCF) of 25365 and 25369 is 1.

GCF(25365,25369) = 1

We will now calculate the prime factors of 25365 and 25369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25365 and 25369.

How to find the GCF of 25365 and 25369?

We will first find the prime factorization of 25365 and 25369. After we will calculate the factors of 25365 and 25369 and find the biggest common factor number .

Step-1: Prime Factorization of 25365

Prime factors of 25365 are 3, 5, 19, 89. Prime factorization of 25365 in exponential form is:

25365 = 3¹ × 5¹ × 19¹ × 89¹

Step-2: Prime Factorization of 25369

Prime factors of 25369 are 23, 1103. Prime factorization of 25369 in exponential form is:

25369 = 23¹ × 1103¹

Step-3: Factors of 25365

List of positive integer factors of 25365 that divides 25365 without a remainder.

1, 3, 5, 15, 19, 57, 89, 95, 267, 285, 445, 1335, 1691, 5073, 8455

Step-4: Factors of 25369

List of positive integer factors of 25369 that divides 25365 without a remainder.

1, 23, 1103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25365 and 25369. The biggest common factor number is the GCF number.
So the greatest common factor 25365 and 25369 is 1.

Also check out the Least Common Multiple of 25365 and 25369