What is the Greatest Common Factor of 95375 and 95390?

Greatest common factor (GCF) of 95375 and 95390 is 5.

GCF(95375,95390) = 5

We will now calculate the prime factors of 95375 and 95390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95375 and 95390.

How to find the GCF of 95375 and 95390?

We will first find the prime factorization of 95375 and 95390. After we will calculate the factors of 95375 and 95390 and find the biggest common factor number .

Step-1: Prime Factorization of 95375

Prime factors of 95375 are 5, 7, 109. Prime factorization of 95375 in exponential form is:

95375 = 5³ × 7¹ × 109¹

Step-2: Prime Factorization of 95390

Prime factors of 95390 are 2, 5, 9539. Prime factorization of 95390 in exponential form is:

95390 = 2¹ × 5¹ × 9539¹

Step-3: Factors of 95375

List of positive integer factors of 95375 that divides 95375 without a remainder.

1, 5, 7, 25, 35, 109, 125, 175, 545, 763, 875, 2725, 3815, 13625, 19075

Step-4: Factors of 95390

List of positive integer factors of 95390 that divides 95375 without a remainder.

1, 2, 5, 10, 9539, 19078, 47695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95375 and 95390. The biggest common factor number is the GCF number.
So the greatest common factor 95375 and 95390 is 5.

Also check out the Least Common Multiple of 95375 and 95390