What is the Greatest Common Factor of 25167 and 25173?

Greatest common factor (GCF) of 25167 and 25173 is 3.

GCF(25167,25173) = 3

We will now calculate the prime factors of 25167 and 25173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25167 and 25173.

How to find the GCF of 25167 and 25173?

We will first find the prime factorization of 25167 and 25173. After we will calculate the factors of 25167 and 25173 and find the biggest common factor number .

Step-1: Prime Factorization of 25167

Prime factors of 25167 are 3, 8389. Prime factorization of 25167 in exponential form is:

25167 = 3¹ × 8389¹

Step-2: Prime Factorization of 25173

Prime factors of 25173 are 3, 2797. Prime factorization of 25173 in exponential form is:

25173 = 3² × 2797¹

Step-3: Factors of 25167

List of positive integer factors of 25167 that divides 25167 without a remainder.

1, 3, 8389

Step-4: Factors of 25173

List of positive integer factors of 25173 that divides 25167 without a remainder.

1, 3, 9, 2797, 8391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25167 and 25173. The biggest common factor number is the GCF number.
So the greatest common factor 25167 and 25173 is 3.

Also check out the Least Common Multiple of 25167 and 25173