What is the Greatest Common Factor of 25149 and 25167?

Greatest common factor (GCF) of 25149 and 25167 is 3.

GCF(25149,25167) = 3

We will now calculate the prime factors of 25149 and 25167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25149 and 25167.

How to find the GCF of 25149 and 25167?

We will first find the prime factorization of 25149 and 25167. After we will calculate the factors of 25149 and 25167 and find the biggest common factor number .

Step-1: Prime Factorization of 25149

Prime factors of 25149 are 3, 83, 101. Prime factorization of 25149 in exponential form is:

25149 = 3¹ × 83¹ × 101¹

Step-2: Prime Factorization of 25167

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

25167 = 3¹ × 8389¹

Step-3: Factors of 25149

List of positive integer factors of 25149 that divides 25149 without a remainder.

1, 3, 83, 101, 249, 303, 8383

Step-4: Factors of 25167

List of positive integer factors of 25167 that divides 25149 without a remainder.

1, 3, 8389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25149 and 25167. The biggest common factor number is the GCF number.
So the greatest common factor 25149 and 25167 is 3.

Also check out the Least Common Multiple of 25149 and 25167