What is the Greatest Common Factor of 96976 and 96981?

Greatest common factor (GCF) of 96976 and 96981 is 1.

GCF(96976,96981) = 1

We will now calculate the prime factors of 96976 and 96981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96976 and 96981.

How to find the GCF of 96976 and 96981?

We will first find the prime factorization of 96976 and 96981. After we will calculate the factors of 96976 and 96981 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 96981

Prime factors of 96981 are 3, 32327. Prime factorization of 96981 in exponential form is:

96981 = 3¹ × 32327¹

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 96981

List of positive integer factors of 96981 that divides 96976 without a remainder.

1, 3, 32327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96976 and 96981. The biggest common factor number is the GCF number.
So the greatest common factor 96976 and 96981 is 1.

Also check out the Least Common Multiple of 96976 and 96981