What is the Greatest Common Factor of 25230 and 25236?

Greatest common factor (GCF) of 25230 and 25236 is 6.

GCF(25230,25236) = 6

We will now calculate the prime factors of 25230 and 25236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25230 and 25236.

How to find the GCF of 25230 and 25236?

We will first find the prime factorization of 25230 and 25236. After we will calculate the factors of 25230 and 25236 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 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 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 25236

List of positive integer factors of 25236 that divides 25230 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 25230 and 25236. The biggest common factor number is the GCF number.
So the greatest common factor 25230 and 25236 is 6.

Also check out the Least Common Multiple of 25230 and 25236