What is the Greatest Common Factor of 95005 and 95010?

Greatest common factor (GCF) of 95005 and 95010 is 5.

GCF(95005,95010) = 5

We will now calculate the prime factors of 95005 and 95010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95005 and 95010.

How to find the GCF of 95005 and 95010?

We will first find the prime factorization of 95005 and 95010. After we will calculate the factors of 95005 and 95010 and find the biggest common factor number .

Step-1: Prime Factorization of 95005

Prime factors of 95005 are 5, 19001. Prime factorization of 95005 in exponential form is:

95005 = 5¹ × 19001¹

Step-2: Prime Factorization of 95010

Prime factors of 95010 are 2, 3, 5, 3167. Prime factorization of 95010 in exponential form is:

95010 = 2¹ × 3¹ × 5¹ × 3167¹

Step-3: Factors of 95005

List of positive integer factors of 95005 that divides 95005 without a remainder.

1, 5, 19001

Step-4: Factors of 95010

List of positive integer factors of 95010 that divides 95005 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3167, 6334, 9501, 15835, 19002, 31670, 47505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95005 and 95010. The biggest common factor number is the GCF number.
So the greatest common factor 95005 and 95010 is 5.

Also check out the Least Common Multiple of 95005 and 95010