What is the Greatest Common Factor of 96700 and 96705?

Greatest common factor (GCF) of 96700 and 96705 is 5.

GCF(96700,96705) = 5

We will now calculate the prime factors of 96700 and 96705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96700 and 96705.

How to find the GCF of 96700 and 96705?

We will first find the prime factorization of 96700 and 96705. After we will calculate the factors of 96700 and 96705 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 96705

Prime factors of 96705 are 3, 5, 7, 307. Prime factorization of 96705 in exponential form is:

96705 = 3² × 5¹ × 7¹ × 307¹

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 96705

List of positive integer factors of 96705 that divides 96700 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 307, 315, 921, 1535, 2149, 2763, 4605, 6447, 10745, 13815, 19341, 32235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96700 and 96705. The biggest common factor number is the GCF number.
So the greatest common factor 96700 and 96705 is 5.

Also check out the Least Common Multiple of 96700 and 96705