What is the Greatest Common Factor of 96008 and 96012?

Greatest common factor (GCF) of 96008 and 96012 is 4.

GCF(96008,96012) = 4

We will now calculate the prime factors of 96008 and 96012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96008 and 96012.

How to find the GCF of 96008 and 96012?

We will first find the prime factorization of 96008 and 96012. After we will calculate the factors of 96008 and 96012 and find the biggest common factor number .

Step-1: Prime Factorization of 96008

Prime factors of 96008 are 2, 11, 1091. Prime factorization of 96008 in exponential form is:

96008 = 2³ × 11¹ × 1091¹

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 96008

List of positive integer factors of 96008 that divides 96008 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 1091, 2182, 4364, 8728, 12001, 24002, 48004

Step-4: Factors of 96012

List of positive integer factors of 96012 that divides 96008 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 96008 and 96012. The biggest common factor number is the GCF number.
So the greatest common factor 96008 and 96012 is 4.

Also check out the Least Common Multiple of 96008 and 96012