What is the Greatest Common Factor of 96976 and 96983?

Greatest common factor (GCF) of 96976 and 96983 is 1.

GCF(96976,96983) = 1

We will now calculate the prime factors of 96976 and 96983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96976 and 96983.

How to find the GCF of 96976 and 96983?

We will first find the prime factorization of 96976 and 96983. After we will calculate the factors of 96976 and 96983 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96983

Prime factors of 96983 are 293, 331. Prime factorization of 96983 in exponential form is:

96983 = 293¹ × 331¹

Step-3: Factors of 96976

List of positive integer factors of 96976 that divides 96976 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

Step-4: Factors of 96983

List of positive integer factors of 96983 that divides 96976 without a remainder.

1, 293, 331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96976 and 96983. The biggest common factor number is the GCF number.
So the greatest common factor 96976 and 96983 is 1.

Also check out the Least Common Multiple of 96976 and 96983