What is the Greatest Common Factor of 96778 and 96789?

Greatest common factor (GCF) of 96778 and 96789 is 11.

GCF(96778,96789) = 11

We will now calculate the prime factors of 96778 and 96789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96778 and 96789.

How to find the GCF of 96778 and 96789?

We will first find the prime factorization of 96778 and 96789. After we will calculate the factors of 96778 and 96789 and find the biggest common factor number .

Step-1: Prime Factorization of 96778

Prime factors of 96778 are 2, 11, 53, 83. Prime factorization of 96778 in exponential form is:

96778 = 2¹ × 11¹ × 53¹ × 83¹

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 96778

List of positive integer factors of 96778 that divides 96778 without a remainder.

1, 2, 11, 22, 53, 83, 106, 166, 583, 913, 1166, 1826, 4399, 8798, 48389

Step-4: Factors of 96789

List of positive integer factors of 96789 that divides 96778 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 96778 and 96789. The biggest common factor number is the GCF number.
So the greatest common factor 96778 and 96789 is 11.

Also check out the Least Common Multiple of 96778 and 96789