What is the Greatest Common Factor of 96999 and 97014?

Greatest common factor (GCF) of 96999 and 97014 is 3.

GCF(96999,97014) = 3

We will now calculate the prime factors of 96999 and 97014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96999 and 97014.

How to find the GCF of 96999 and 97014?

We will first find the prime factorization of 96999 and 97014. After we will calculate the factors of 96999 and 97014 and find the biggest common factor number .

Step-1: Prime Factorization of 96999

Prime factors of 96999 are 3, 7, 31, 149. Prime factorization of 96999 in exponential form is:

96999 = 3¹ × 7¹ × 31¹ × 149¹

Step-2: Prime Factorization of 97014

Prime factors of 97014 are 2, 3, 19, 23, 37. Prime factorization of 97014 in exponential form is:

97014 = 2¹ × 3¹ × 19¹ × 23¹ × 37¹

Step-3: Factors of 96999

List of positive integer factors of 96999 that divides 96999 without a remainder.

1, 3, 7, 21, 31, 93, 149, 217, 447, 651, 1043, 3129, 4619, 13857, 32333

Step-4: Factors of 97014

List of positive integer factors of 97014 that divides 96999 without a remainder.

1, 2, 3, 6, 19, 23, 37, 38, 46, 57, 69, 74, 111, 114, 138, 222, 437, 703, 851, 874, 1311, 1406, 1702, 2109, 2553, 2622, 4218, 5106, 16169, 32338, 48507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96999 and 97014. The biggest common factor number is the GCF number.
So the greatest common factor 96999 and 97014 is 3.

Also check out the Least Common Multiple of 96999 and 97014