What is the Greatest Common Factor of 25230 and 25239?

Greatest common factor (GCF) of 25230 and 25239 is 3.

GCF(25230,25239) = 3

We will now calculate the prime factors of 25230 and 25239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25230 and 25239.

How to find the GCF of 25230 and 25239?

We will first find the prime factorization of 25230 and 25239. After we will calculate the factors of 25230 and 25239 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 25239

Prime factors of 25239 are 3, 47, 179. Prime factorization of 25239 in exponential form is:

25239 = 3¹ × 47¹ × 179¹

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 25239

List of positive integer factors of 25239 that divides 25230 without a remainder.

1, 3, 47, 141, 179, 537, 8413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25230 and 25239. The biggest common factor number is the GCF number.
So the greatest common factor 25230 and 25239 is 3.

Also check out the Least Common Multiple of 25230 and 25239