What is the Greatest Common Factor of 95995 and 96012?

Greatest common factor (GCF) of 95995 and 96012 is 1.

GCF(95995,96012) = 1

We will now calculate the prime factors of 95995 and 96012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95995 and 96012.

How to find the GCF of 95995 and 96012?

We will first find the prime factorization of 95995 and 96012. After we will calculate the factors of 95995 and 96012 and find the biggest common factor number .

Step-1: Prime Factorization of 95995

Prime factors of 95995 are 5, 73, 263. Prime factorization of 95995 in exponential form is:

95995 = 5¹ × 73¹ × 263¹

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 95995

List of positive integer factors of 95995 that divides 95995 without a remainder.

1, 5, 73, 263, 365, 1315, 19199

Step-4: Factors of 96012

List of positive integer factors of 96012 that divides 95995 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 95995 and 96012. The biggest common factor number is the GCF number.
So the greatest common factor 95995 and 96012 is 1.

Also check out the Least Common Multiple of 95995 and 96012