What is the Greatest Common Factor of 25236 and 25254?

Greatest common factor (GCF) of 25236 and 25254 is 18.

GCF(25236,25254) = 18

We will now calculate the prime factors of 25236 and 25254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25236 and 25254.

How to find the GCF of 25236 and 25254?

We will first find the prime factorization of 25236 and 25254. After we will calculate the factors of 25236 and 25254 and find the biggest common factor number .

Step-1: Prime Factorization of 25236

Prime factors of 25236 are 2, 3, 701. Prime factorization of 25236 in exponential form is:

25236 = 2² × 3² × 701¹

Step-2: Prime Factorization of 25254

Prime factors of 25254 are 2, 3, 23, 61. Prime factorization of 25254 in exponential form is:

25254 = 2¹ × 3² × 23¹ × 61¹

Step-3: Factors of 25236

List of positive integer factors of 25236 that divides 25236 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 701, 1402, 2103, 2804, 4206, 6309, 8412, 12618

Step-4: Factors of 25254

List of positive integer factors of 25254 that divides 25236 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 61, 69, 122, 138, 183, 207, 366, 414, 549, 1098, 1403, 2806, 4209, 8418, 12627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25236 and 25254. The biggest common factor number is the GCF number.
So the greatest common factor 25236 and 25254 is 18.

Also check out the Least Common Multiple of 25236 and 25254