What is the Greatest Common Factor of 96976 and 96987?

Greatest common factor (GCF) of 96976 and 96987 is 11.

GCF(96976,96987) = 11

We will now calculate the prime factors of 96976 and 96987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96976 and 96987.

How to find the GCF of 96976 and 96987?

We will first find the prime factorization of 96976 and 96987. After we will calculate the factors of 96976 and 96987 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 96987

Prime factors of 96987 are 3, 11, 2939. Prime factorization of 96987 in exponential form is:

96987 = 3¹ × 11¹ × 2939¹

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 96987

List of positive integer factors of 96987 that divides 96976 without a remainder.

1, 3, 11, 33, 2939, 8817, 32329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96976 and 96987. The biggest common factor number is the GCF number.
So the greatest common factor 96976 and 96987 is 11.

Also check out the Least Common Multiple of 96976 and 96987