What is the Greatest Common Factor of 25230 and 25245?

Greatest common factor (GCF) of 25230 and 25245 is 15.

GCF(25230,25245) = 15

We will now calculate the prime factors of 25230 and 25245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25230 and 25245.

How to find the GCF of 25230 and 25245?

We will first find the prime factorization of 25230 and 25245. After we will calculate the factors of 25230 and 25245 and find the biggest common factor number .

Step-1: Prime Factorization of 25230

Prime factors of 25230 are 2, 3, 5, 29. Prime factorization of 25230 in exponential form is:

25230 = 2¹ × 3¹ × 5¹ × 29²

Step-2: Prime Factorization of 25245

Prime factors of 25245 are 3, 5, 11, 17. Prime factorization of 25245 in exponential form is:

25245 = 3³ × 5¹ × 11¹ × 17¹

Step-3: Factors of 25230

List of positive integer factors of 25230 that divides 25230 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 841, 870, 1682, 2523, 4205, 5046, 8410, 12615

Step-4: Factors of 25245

List of positive integer factors of 25245 that divides 25230 without a remainder.

1, 3, 5, 9, 11, 15, 17, 27, 33, 45, 51, 55, 85, 99, 135, 153, 165, 187, 255, 297, 459, 495, 561, 765, 935, 1485, 1683, 2295, 2805, 5049, 8415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25230 and 25245. The biggest common factor number is the GCF number.
So the greatest common factor 25230 and 25245 is 15.

Also check out the Least Common Multiple of 25230 and 25245