What is the Greatest Common Factor of 95995 and 96007?

Greatest common factor (GCF) of 95995 and 96007 is 1.

GCF(95995,96007) = 1

We will now calculate the prime factors of 95995 and 96007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95995 and 96007.

How to find the GCF of 95995 and 96007?

We will first find the prime factorization of 95995 and 96007. After we will calculate the factors of 95995 and 96007 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 96007

Prime factors of 96007 are 19, 31, 163. Prime factorization of 96007 in exponential form is:

96007 = 19¹ × 31¹ × 163¹

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 96007

List of positive integer factors of 96007 that divides 95995 without a remainder.

1, 19, 31, 163, 589, 3097, 5053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95995 and 96007. The biggest common factor number is the GCF number.
So the greatest common factor 95995 and 96007 is 1.

Also check out the Least Common Multiple of 95995 and 96007