What is the Greatest Common Factor of 95728 and 95736?

Greatest common factor (GCF) of 95728 and 95736 is 8.

GCF(95728,95736) = 8

We will now calculate the prime factors of 95728 and 95736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95728 and 95736.

How to find the GCF of 95728 and 95736?

We will first find the prime factorization of 95728 and 95736. After we will calculate the factors of 95728 and 95736 and find the biggest common factor number .

Step-1: Prime Factorization of 95728

Prime factors of 95728 are 2, 31, 193. Prime factorization of 95728 in exponential form is:

95728 = 2⁴ × 31¹ × 193¹

Step-2: Prime Factorization of 95736

Prime factors of 95736 are 2, 3, 3989. Prime factorization of 95736 in exponential form is:

95736 = 2³ × 3¹ × 3989¹

Step-3: Factors of 95728

List of positive integer factors of 95728 that divides 95728 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 193, 248, 386, 496, 772, 1544, 3088, 5983, 11966, 23932, 47864

Step-4: Factors of 95736

List of positive integer factors of 95736 that divides 95728 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3989, 7978, 11967, 15956, 23934, 31912, 47868

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95728 and 95736. The biggest common factor number is the GCF number.
So the greatest common factor 95728 and 95736 is 8.

Also check out the Least Common Multiple of 95728 and 95736