What is the Greatest Common Factor of 96700 and 96704?

Greatest common factor (GCF) of 96700 and 96704 is 4.

GCF(96700,96704) = 4

We will now calculate the prime factors of 96700 and 96704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96700 and 96704.

How to find the GCF of 96700 and 96704?

We will first find the prime factorization of 96700 and 96704. After we will calculate the factors of 96700 and 96704 and find the biggest common factor number .

Step-1: Prime Factorization of 96700

Prime factors of 96700 are 2, 5, 967. Prime factorization of 96700 in exponential form is:

96700 = 2² × 5² × 967¹

Step-2: Prime Factorization of 96704

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

96704 = 2⁶ × 1511¹

Step-3: Factors of 96700

List of positive integer factors of 96700 that divides 96700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 967, 1934, 3868, 4835, 9670, 19340, 24175, 48350

Step-4: Factors of 96704

List of positive integer factors of 96704 that divides 96700 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96700 and 96704. The biggest common factor number is the GCF number.
So the greatest common factor 96700 and 96704 is 4.

Also check out the Least Common Multiple of 96700 and 96704