What is the Greatest Common Factor of 25164 and 25184?

Greatest common factor (GCF) of 25164 and 25184 is 4.

GCF(25164,25184) = 4

We will now calculate the prime factors of 25164 and 25184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25164 and 25184.

How to find the GCF of 25164 and 25184?

We will first find the prime factorization of 25164 and 25184. After we will calculate the factors of 25164 and 25184 and find the biggest common factor number .

Step-1: Prime Factorization of 25164

Prime factors of 25164 are 2, 3, 233. Prime factorization of 25164 in exponential form is:

25164 = 2² × 3³ × 233¹

Step-2: Prime Factorization of 25184

Prime factors of 25184 are 2, 787. Prime factorization of 25184 in exponential form is:

25184 = 2⁵ × 787¹

Step-3: Factors of 25164

List of positive integer factors of 25164 that divides 25164 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 233, 466, 699, 932, 1398, 2097, 2796, 4194, 6291, 8388, 12582

Step-4: Factors of 25184

List of positive integer factors of 25184 that divides 25164 without a remainder.

1, 2, 4, 8, 16, 32, 787, 1574, 3148, 6296, 12592

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25164 and 25184. The biggest common factor number is the GCF number.
So the greatest common factor 25164 and 25184 is 4.

Also check out the Least Common Multiple of 25164 and 25184