What is the Greatest Common Factor of 95275 and 95295?

Greatest common factor (GCF) of 95275 and 95295 is 5.

GCF(95275,95295) = 5

We will now calculate the prime factors of 95275 and 95295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95275 and 95295.

How to find the GCF of 95275 and 95295?

We will first find the prime factorization of 95275 and 95295. After we will calculate the factors of 95275 and 95295 and find the biggest common factor number .

Step-1: Prime Factorization of 95275

Prime factors of 95275 are 5, 37, 103. Prime factorization of 95275 in exponential form is:

95275 = 5² × 37¹ × 103¹

Step-2: Prime Factorization of 95295

Prime factors of 95295 are 3, 5, 6353. Prime factorization of 95295 in exponential form is:

95295 = 3¹ × 5¹ × 6353¹

Step-3: Factors of 95275

List of positive integer factors of 95275 that divides 95275 without a remainder.

1, 5, 25, 37, 103, 185, 515, 925, 2575, 3811, 19055

Step-4: Factors of 95295

List of positive integer factors of 95295 that divides 95275 without a remainder.

1, 3, 5, 15, 6353, 19059, 31765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95275 and 95295. The biggest common factor number is the GCF number.
So the greatest common factor 95275 and 95295 is 5.

Also check out the Least Common Multiple of 95275 and 95295