What is the Greatest Common Factor of 25218 and 25236?

Greatest common factor (GCF) of 25218 and 25236 is 18.

GCF(25218,25236) = 18

We will now calculate the prime factors of 25218 and 25236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25218 and 25236.

How to find the GCF of 25218 and 25236?

We will first find the prime factorization of 25218 and 25236. After we will calculate the factors of 25218 and 25236 and find the biggest common factor number .

Step-1: Prime Factorization of 25218

Prime factors of 25218 are 2, 3, 467. Prime factorization of 25218 in exponential form is:

25218 = 2¹ × 3³ × 467¹

Step-2: 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-3: Factors of 25218

List of positive integer factors of 25218 that divides 25218 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 467, 934, 1401, 2802, 4203, 8406, 12609

Step-4: Factors of 25236

List of positive integer factors of 25236 that divides 25218 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25218 and 25236. The biggest common factor number is the GCF number.
So the greatest common factor 25218 and 25236 is 18.

Also check out the Least Common Multiple of 25218 and 25236