What is the Greatest Common Factor of 96705 and 96709?

Greatest common factor (GCF) of 96705 and 96709 is 1.

GCF(96705,96709) = 1

We will now calculate the prime factors of 96705 and 96709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96705 and 96709.

How to find the GCF of 96705 and 96709?

We will first find the prime factorization of 96705 and 96709. After we will calculate the factors of 96705 and 96709 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 96709

Prime factors of 96709 are 97, 997. Prime factorization of 96709 in exponential form is:

96709 = 97¹ × 997¹

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 96709

List of positive integer factors of 96709 that divides 96705 without a remainder.

1, 97, 997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96705 and 96709. The biggest common factor number is the GCF number.
So the greatest common factor 96705 and 96709 is 1.

Also check out the Least Common Multiple of 96705 and 96709