What is the Greatest Common Factor of 96770 and 96789?

Greatest common factor (GCF) of 96770 and 96789 is 1.

GCF(96770,96789) = 1

We will now calculate the prime factors of 96770 and 96789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96770 and 96789.

How to find the GCF of 96770 and 96789?

We will first find the prime factorization of 96770 and 96789. After we will calculate the factors of 96770 and 96789 and find the biggest common factor number .

Step-1: Prime Factorization of 96770

Prime factors of 96770 are 2, 5, 9677. Prime factorization of 96770 in exponential form is:

96770 = 2¹ × 5¹ × 9677¹

Step-2: Prime Factorization of 96789

Prime factors of 96789 are 3, 7, 11, 419. Prime factorization of 96789 in exponential form is:

96789 = 3¹ × 7¹ × 11¹ × 419¹

Step-3: Factors of 96770

List of positive integer factors of 96770 that divides 96770 without a remainder.

1, 2, 5, 10, 9677, 19354, 48385

Step-4: Factors of 96789

List of positive integer factors of 96789 that divides 96770 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 419, 1257, 2933, 4609, 8799, 13827, 32263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96770 and 96789. The biggest common factor number is the GCF number.
So the greatest common factor 96770 and 96789 is 1.

Also check out the Least Common Multiple of 96770 and 96789