What is the Greatest Common Factor of 96705 and 96716?

Greatest common factor (GCF) of 96705 and 96716 is 1.

GCF(96705,96716) = 1

We will now calculate the prime factors of 96705 and 96716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96705 and 96716.

How to find the GCF of 96705 and 96716?

We will first find the prime factorization of 96705 and 96716. After we will calculate the factors of 96705 and 96716 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96716

Prime factors of 96716 are 2, 24179. Prime factorization of 96716 in exponential form is:

96716 = 2² × 24179¹

Step-3: Factors of 96705

List of positive integer factors of 96705 that divides 96705 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

Step-4: Factors of 96716

List of positive integer factors of 96716 that divides 96705 without a remainder.

1, 2, 4, 24179, 48358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96705 and 96716. The biggest common factor number is the GCF number.
So the greatest common factor 96705 and 96716 is 1.

Also check out the Least Common Multiple of 96705 and 96716