What is the Greatest Common Factor of 95997 and 96012?

Greatest common factor (GCF) of 95997 and 96012 is 3.

GCF(95997,96012) = 3

We will now calculate the prime factors of 95997 and 96012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95997 and 96012.

How to find the GCF of 95997 and 96012?

We will first find the prime factorization of 95997 and 96012. After we will calculate the factors of 95997 and 96012 and find the biggest common factor number .

Step-1: Prime Factorization of 95997

Prime factors of 95997 are 3, 11, 2909. Prime factorization of 95997 in exponential form is:

95997 = 3¹ × 11¹ × 2909¹

Step-2: Prime Factorization of 96012

Prime factors of 96012 are 2, 3, 7, 127. Prime factorization of 96012 in exponential form is:

96012 = 2² × 3³ × 7¹ × 127¹

Step-3: Factors of 95997

List of positive integer factors of 95997 that divides 95997 without a remainder.

1, 3, 11, 33, 2909, 8727, 31999

Step-4: Factors of 96012

List of positive integer factors of 96012 that divides 95997 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 127, 189, 252, 254, 378, 381, 508, 756, 762, 889, 1143, 1524, 1778, 2286, 2667, 3429, 3556, 4572, 5334, 6858, 8001, 10668, 13716, 16002, 24003, 32004, 48006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95997 and 96012. The biggest common factor number is the GCF number.
So the greatest common factor 95997 and 96012 is 3.

Also check out the Least Common Multiple of 95997 and 96012