What is the Greatest Common Factor of 25184 and 25196?

Greatest common factor (GCF) of 25184 and 25196 is 4.

GCF(25184,25196) = 4

We will now calculate the prime factors of 25184 and 25196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25184 and 25196.

How to find the GCF of 25184 and 25196?

We will first find the prime factorization of 25184 and 25196. After we will calculate the factors of 25184 and 25196 and find the biggest common factor number .

Step-1: Prime Factorization of 25184

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

25184 = 2⁵ × 787¹

Step-2: Prime Factorization of 25196

Prime factors of 25196 are 2, 6299. Prime factorization of 25196 in exponential form is:

25196 = 2² × 6299¹

Step-3: Factors of 25184

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

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

Step-4: Factors of 25196

List of positive integer factors of 25196 that divides 25184 without a remainder.

1, 2, 4, 6299, 12598

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25184 and 25196. The biggest common factor number is the GCF number.
So the greatest common factor 25184 and 25196 is 4.

Also check out the Least Common Multiple of 25184 and 25196