What is the Greatest Common Factor of 96704 and 96722?

Greatest common factor (GCF) of 96704 and 96722 is 2.

GCF(96704,96722) = 2

We will now calculate the prime factors of 96704 and 96722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96704 and 96722.

How to find the GCF of 96704 and 96722?

We will first find the prime factorization of 96704 and 96722. After we will calculate the factors of 96704 and 96722 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 96722

Prime factors of 96722 are 2, 137, 353. Prime factorization of 96722 in exponential form is:

96722 = 2¹ × 137¹ × 353¹

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 96722

List of positive integer factors of 96722 that divides 96704 without a remainder.

1, 2, 137, 274, 353, 706, 48361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96704 and 96722. The biggest common factor number is the GCF number.
So the greatest common factor 96704 and 96722 is 2.

Also check out the Least Common Multiple of 96704 and 96722