What is the Greatest Common Factor of 96965 and 96976?

Greatest common factor (GCF) of 96965 and 96976 is 11.

GCF(96965,96976) = 11

We will now calculate the prime factors of 96965 and 96976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96965 and 96976.

How to find the GCF of 96965 and 96976?

We will first find the prime factorization of 96965 and 96976. After we will calculate the factors of 96965 and 96976 and find the biggest common factor number .

Step-1: Prime Factorization of 96965

Prime factors of 96965 are 5, 11, 41, 43. Prime factorization of 96965 in exponential form is:

96965 = 5¹ × 11¹ × 41¹ × 43¹

Step-2: Prime Factorization of 96976

Prime factors of 96976 are 2, 11, 19, 29. Prime factorization of 96976 in exponential form is:

96976 = 2⁴ × 11¹ × 19¹ × 29¹

Step-3: Factors of 96965

List of positive integer factors of 96965 that divides 96965 without a remainder.

1, 5, 11, 41, 43, 55, 205, 215, 451, 473, 1763, 2255, 2365, 8815, 19393

Step-4: Factors of 96976

List of positive integer factors of 96976 that divides 96965 without a remainder.

1, 2, 4, 8, 11, 16, 19, 22, 29, 38, 44, 58, 76, 88, 116, 152, 176, 209, 232, 304, 319, 418, 464, 551, 638, 836, 1102, 1276, 1672, 2204, 2552, 3344, 4408, 5104, 6061, 8816, 12122, 24244, 48488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96965 and 96976. The biggest common factor number is the GCF number.
So the greatest common factor 96965 and 96976 is 11.

Also check out the Least Common Multiple of 96965 and 96976