What is the Greatest Common Factor of 95991 and 96006?

Greatest common factor (GCF) of 95991 and 96006 is 3.

GCF(95991,96006) = 3

We will now calculate the prime factors of 95991 and 96006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95991 and 96006.

How to find the GCF of 95991 and 96006?

We will first find the prime factorization of 95991 and 96006. After we will calculate the factors of 95991 and 96006 and find the biggest common factor number .

Step-1: Prime Factorization of 95991

Prime factors of 95991 are 3, 7, 653. Prime factorization of 95991 in exponential form is:

95991 = 3¹ × 7² × 653¹

Step-2: Prime Factorization of 96006

Prime factors of 96006 are 2, 3, 16001. Prime factorization of 96006 in exponential form is:

96006 = 2¹ × 3¹ × 16001¹

Step-3: Factors of 95991

List of positive integer factors of 95991 that divides 95991 without a remainder.

1, 3, 7, 21, 49, 147, 653, 1959, 4571, 13713, 31997

Step-4: Factors of 96006

List of positive integer factors of 96006 that divides 95991 without a remainder.

1, 2, 3, 6, 16001, 32002, 48003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95991 and 96006. The biggest common factor number is the GCF number.
So the greatest common factor 95991 and 96006 is 3.

Also check out the Least Common Multiple of 95991 and 96006