What is the Greatest Common Factor of 25151 and 25165?

Greatest common factor (GCF) of 25151 and 25165 is 7.

GCF(25151,25165) = 7

We will now calculate the prime factors of 25151 and 25165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25151 and 25165.

How to find the GCF of 25151 and 25165?

We will first find the prime factorization of 25151 and 25165. After we will calculate the factors of 25151 and 25165 and find the biggest common factor number .

Step-1: Prime Factorization of 25151

Prime factors of 25151 are 7, 3593. Prime factorization of 25151 in exponential form is:

25151 = 7¹ × 3593¹

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 25151

List of positive integer factors of 25151 that divides 25151 without a remainder.

1, 7, 3593

Step-4: Factors of 25165

List of positive integer factors of 25165 that divides 25151 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25151 and 25165. The biggest common factor number is the GCF number.
So the greatest common factor 25151 and 25165 is 7.

Also check out the Least Common Multiple of 25151 and 25165