What is the Greatest Common Factor of 95704 and 95718?

Greatest common factor (GCF) of 95704 and 95718 is 14.

GCF(95704,95718) = 14

We will now calculate the prime factors of 95704 and 95718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95704 and 95718.

How to find the GCF of 95704 and 95718?

We will first find the prime factorization of 95704 and 95718. After we will calculate the factors of 95704 and 95718 and find the biggest common factor number .

Step-1: Prime Factorization of 95704

Prime factors of 95704 are 2, 7, 1709. Prime factorization of 95704 in exponential form is:

95704 = 2³ × 7¹ × 1709¹

Step-2: Prime Factorization of 95718

Prime factors of 95718 are 2, 3, 7, 43, 53. Prime factorization of 95718 in exponential form is:

95718 = 2¹ × 3¹ × 7¹ × 43¹ × 53¹

Step-3: Factors of 95704

List of positive integer factors of 95704 that divides 95704 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1709, 3418, 6836, 11963, 13672, 23926, 47852

Step-4: Factors of 95718

List of positive integer factors of 95718 that divides 95704 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 43, 53, 86, 106, 129, 159, 258, 301, 318, 371, 602, 742, 903, 1113, 1806, 2226, 2279, 4558, 6837, 13674, 15953, 31906, 47859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95704 and 95718. The biggest common factor number is the GCF number.
So the greatest common factor 95704 and 95718 is 14.

Also check out the Least Common Multiple of 95704 and 95718