What is the Greatest Common Factor of 96704 and 96708?

Greatest common factor (GCF) of 96704 and 96708 is 4.

GCF(96704,96708) = 4

We will now calculate the prime factors of 96704 and 96708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96704 and 96708.

How to find the GCF of 96704 and 96708?

We will first find the prime factorization of 96704 and 96708. After we will calculate the factors of 96704 and 96708 and find the biggest common factor number .

Step-1: Prime Factorization of 96704

Prime factors of 96704 are 2, 1511. Prime factorization of 96704 in exponential form is:

96704 = 2⁶ × 1511¹

Step-2: Prime Factorization of 96708

Prime factors of 96708 are 2, 3, 8059. Prime factorization of 96708 in exponential form is:

96708 = 2² × 3¹ × 8059¹

Step-3: Factors of 96704

List of positive integer factors of 96704 that divides 96704 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1511, 3022, 6044, 12088, 24176, 48352

Step-4: Factors of 96708

List of positive integer factors of 96708 that divides 96704 without a remainder.

1, 2, 3, 4, 6, 12, 8059, 16118, 24177, 32236, 48354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96704 and 96708. The biggest common factor number is the GCF number.
So the greatest common factor 96704 and 96708 is 4.

Also check out the Least Common Multiple of 96704 and 96708