What is the Greatest Common Factor of 25158 and 25165?

Greatest common factor (GCF) of 25158 and 25165 is 7.

GCF(25158,25165) = 7

We will now calculate the prime factors of 25158 and 25165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25158 and 25165.

How to find the GCF of 25158 and 25165?

We will first find the prime factorization of 25158 and 25165. After we will calculate the factors of 25158 and 25165 and find the biggest common factor number .

Step-1: Prime Factorization of 25158

Prime factors of 25158 are 2, 3, 7, 599. Prime factorization of 25158 in exponential form is:

25158 = 2¹ × 3¹ × 7¹ × 599¹

Step-2: Prime Factorization of 25165

Prime factors of 25165 are 5, 7, 719. Prime factorization of 25165 in exponential form is:

25165 = 5¹ × 7¹ × 719¹

Step-3: Factors of 25158

List of positive integer factors of 25158 that divides 25158 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 599, 1198, 1797, 3594, 4193, 8386, 12579

Step-4: Factors of 25165

List of positive integer factors of 25165 that divides 25158 without a remainder.

1, 5, 7, 35, 719, 3595, 5033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25158 and 25165. The biggest common factor number is the GCF number.
So the greatest common factor 25158 and 25165 is 7.

Also check out the Least Common Multiple of 25158 and 25165