What is the Greatest Common Factor of 96971 and 96976?

Greatest common factor (GCF) of 96971 and 96976 is 1.

GCF(96971,96976) = 1

We will now calculate the prime factors of 96971 and 96976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96971 and 96976.

How to find the GCF of 96971 and 96976?

We will first find the prime factorization of 96971 and 96976. After we will calculate the factors of 96971 and 96976 and find the biggest common factor number .

Step-1: Prime Factorization of 96971

Prime factors of 96971 are 7, 1979. Prime factorization of 96971 in exponential form is:

96971 = 7² × 1979¹

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 96971

List of positive integer factors of 96971 that divides 96971 without a remainder.

1, 7, 49, 1979, 13853

Step-4: Factors of 96976

List of positive integer factors of 96976 that divides 96971 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 96971 and 96976. The biggest common factor number is the GCF number.
So the greatest common factor 96971 and 96976 is 1.

Also check out the Least Common Multiple of 96971 and 96976