What is the Greatest Common Factor of 95704 and 95708?

Greatest common factor (GCF) of 95704 and 95708 is 4.

GCF(95704,95708) = 4

We will now calculate the prime factors of 95704 and 95708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95704 and 95708.

How to find the GCF of 95704 and 95708?

We will first find the prime factorization of 95704 and 95708. After we will calculate the factors of 95704 and 95708 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 95708

Prime factors of 95708 are 2, 71, 337. Prime factorization of 95708 in exponential form is:

95708 = 2² × 71¹ × 337¹

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 95708

List of positive integer factors of 95708 that divides 95704 without a remainder.

1, 2, 4, 71, 142, 284, 337, 674, 1348, 23927, 47854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95704 and 95708. The biggest common factor number is the GCF number.
So the greatest common factor 95704 and 95708 is 4.

Also check out the Least Common Multiple of 95704 and 95708