What is the Greatest Common Factor of 25365 and 25384?

Greatest common factor (GCF) of 25365 and 25384 is 19.

GCF(25365,25384) = 19

We will now calculate the prime factors of 25365 and 25384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25365 and 25384.

How to find the GCF of 25365 and 25384?

We will first find the prime factorization of 25365 and 25384. After we will calculate the factors of 25365 and 25384 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 25384

Prime factors of 25384 are 2, 19, 167. Prime factorization of 25384 in exponential form is:

25384 = 2³ × 19¹ × 167¹

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 25384

List of positive integer factors of 25384 that divides 25365 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 167, 334, 668, 1336, 3173, 6346, 12692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25365 and 25384. The biggest common factor number is the GCF number.
So the greatest common factor 25365 and 25384 is 19.

Also check out the Least Common Multiple of 25365 and 25384