What is the Greatest Common Factor of 25360 and 25365?

Greatest common factor (GCF) of 25360 and 25365 is 5.

GCF(25360,25365) = 5

We will now calculate the prime factors of 25360 and 25365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25360 and 25365.

How to find the GCF of 25360 and 25365?

We will first find the prime factorization of 25360 and 25365. After we will calculate the factors of 25360 and 25365 and find the biggest common factor number .

Step-1: Prime Factorization of 25360

Prime factors of 25360 are 2, 5, 317. Prime factorization of 25360 in exponential form is:

25360 = 2⁴ × 5¹ × 317¹

Step-2: 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-3: Factors of 25360

List of positive integer factors of 25360 that divides 25360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 317, 634, 1268, 1585, 2536, 3170, 5072, 6340, 12680

Step-4: Factors of 25365

List of positive integer factors of 25365 that divides 25360 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25360 and 25365. The biggest common factor number is the GCF number.
So the greatest common factor 25360 and 25365 is 5.

Also check out the Least Common Multiple of 25360 and 25365