What is the Greatest Common Factor of 95438 and 95452?

Greatest common factor (GCF) of 95438 and 95452 is 14.

GCF(95438,95452) = 14

We will now calculate the prime factors of 95438 and 95452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95438 and 95452.

How to find the GCF of 95438 and 95452?

We will first find the prime factorization of 95438 and 95452. After we will calculate the factors of 95438 and 95452 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 95452

Prime factors of 95452 are 2, 7, 487. Prime factorization of 95452 in exponential form is:

95452 = 2² × 7² × 487¹

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 95452

List of positive integer factors of 95452 that divides 95438 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 487, 974, 1948, 3409, 6818, 13636, 23863, 47726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95438 and 95452. The biggest common factor number is the GCF number.
So the greatest common factor 95438 and 95452 is 14.

Also check out the Least Common Multiple of 95438 and 95452