What is the Greatest Common Factor of 95991 and 96005?

Greatest common factor (GCF) of 95991 and 96005 is 7.

GCF(95991,96005) = 7

We will now calculate the prime factors of 95991 and 96005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95991 and 96005.

How to find the GCF of 95991 and 96005?

We will first find the prime factorization of 95991 and 96005. After we will calculate the factors of 95991 and 96005 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 96005

Prime factors of 96005 are 5, 7, 13, 211. Prime factorization of 96005 in exponential form is:

96005 = 5¹ × 7¹ × 13¹ × 211¹

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 96005

List of positive integer factors of 96005 that divides 95991 without a remainder.

1, 5, 7, 13, 35, 65, 91, 211, 455, 1055, 1477, 2743, 7385, 13715, 19201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95991 and 96005. The biggest common factor number is the GCF number.
So the greatest common factor 95991 and 96005 is 7.

Also check out the Least Common Multiple of 95991 and 96005