What is the Greatest Common Factor of 95990 and 96004?

Greatest common factor (GCF) of 95990 and 96004 is 2.

GCF(95990,96004) = 2

We will now calculate the prime factors of 95990 and 96004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95990 and 96004.

How to find the GCF of 95990 and 96004?

We will first find the prime factorization of 95990 and 96004. After we will calculate the factors of 95990 and 96004 and find the biggest common factor number .

Step-1: Prime Factorization of 95990

Prime factors of 95990 are 2, 5, 29, 331. Prime factorization of 95990 in exponential form is:

95990 = 2¹ × 5¹ × 29¹ × 331¹

Step-2: Prime Factorization of 96004

Prime factors of 96004 are 2, 24001. Prime factorization of 96004 in exponential form is:

96004 = 2² × 24001¹

Step-3: Factors of 95990

List of positive integer factors of 95990 that divides 95990 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290, 331, 662, 1655, 3310, 9599, 19198, 47995

Step-4: Factors of 96004

List of positive integer factors of 96004 that divides 95990 without a remainder.

1, 2, 4, 24001, 48002

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95990 and 96004. The biggest common factor number is the GCF number.
So the greatest common factor 95990 and 96004 is 2.

Also check out the Least Common Multiple of 95990 and 96004