What is the Greatest Common Factor of 25350 and 25365?

Greatest common factor (GCF) of 25350 and 25365 is 15.

GCF(25350,25365) = 15

We will now calculate the prime factors of 25350 and 25365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25350 and 25365.

How to find the GCF of 25350 and 25365?

We will first find the prime factorization of 25350 and 25365. After we will calculate the factors of 25350 and 25365 and find the biggest common factor number .

Step-1: Prime Factorization of 25350

Prime factors of 25350 are 2, 3, 5, 13. Prime factorization of 25350 in exponential form is:

25350 = 2¹ × 3¹ × 5² × 13²

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 25350

List of positive integer factors of 25350 that divides 25350 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 169, 195, 325, 338, 390, 507, 650, 845, 975, 1014, 1690, 1950, 2535, 4225, 5070, 8450, 12675

Step-4: Factors of 25365

List of positive integer factors of 25365 that divides 25350 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 25350 and 25365. The biggest common factor number is the GCF number.
So the greatest common factor 25350 and 25365 is 15.

Also check out the Least Common Multiple of 25350 and 25365