What is the Greatest Common Factor of 95275 and 95290?

Greatest common factor (GCF) of 95275 and 95290 is 5.

GCF(95275,95290) = 5

We will now calculate the prime factors of 95275 and 95290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95275 and 95290.

How to find the GCF of 95275 and 95290?

We will first find the prime factorization of 95275 and 95290. After we will calculate the factors of 95275 and 95290 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 95290

Prime factors of 95290 are 2, 5, 13, 733. Prime factorization of 95290 in exponential form is:

95290 = 2¹ × 5¹ × 13¹ × 733¹

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 95290

List of positive integer factors of 95290 that divides 95275 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 733, 1466, 3665, 7330, 9529, 19058, 47645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95275 and 95290. The biggest common factor number is the GCF number.
So the greatest common factor 95275 and 95290 is 5.

Also check out the Least Common Multiple of 95275 and 95290