What is the Greatest Common Factor of 95438 and 95455?

Greatest common factor (GCF) of 95438 and 95455 is 17.

GCF(95438,95455) = 17

We will now calculate the prime factors of 95438 and 95455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95438 and 95455.

How to find the GCF of 95438 and 95455?

We will first find the prime factorization of 95438 and 95455. After we will calculate the factors of 95438 and 95455 and find the biggest common factor number .

Step-1: Prime Factorization of 95438

Prime factors of 95438 are 2, 7, 17, 401. Prime factorization of 95438 in exponential form is:

95438 = 2¹ × 7¹ × 17¹ × 401¹

Step-2: Prime Factorization of 95455

Prime factors of 95455 are 5, 17, 1123. Prime factorization of 95455 in exponential form is:

95455 = 5¹ × 17¹ × 1123¹

Step-3: Factors of 95438

List of positive integer factors of 95438 that divides 95438 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 401, 802, 2807, 5614, 6817, 13634, 47719

Step-4: Factors of 95455

List of positive integer factors of 95455 that divides 95438 without a remainder.

1, 5, 17, 85, 1123, 5615, 19091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95438 and 95455. The biggest common factor number is the GCF number.
So the greatest common factor 95438 and 95455 is 17.

Also check out the Least Common Multiple of 95438 and 95455