What is the Greatest Common Factor of 95998 and 96004?

Greatest common factor (GCF) of 95998 and 96004 is 2.

GCF(95998,96004) = 2

We will now calculate the prime factors of 95998 and 96004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95998 and 96004.

How to find the GCF of 95998 and 96004?

We will first find the prime factorization of 95998 and 96004. After we will calculate the factors of 95998 and 96004 and find the biggest common factor number .

Step-1: Prime Factorization of 95998

Prime factors of 95998 are 2, 7, 6857. Prime factorization of 95998 in exponential form is:

95998 = 2¹ × 7¹ × 6857¹

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 95998

List of positive integer factors of 95998 that divides 95998 without a remainder.

1, 2, 7, 14, 6857, 13714, 47999

Step-4: Factors of 96004

List of positive integer factors of 96004 that divides 95998 without a remainder.

1, 2, 4, 24001, 48002

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95998 and 96004. The biggest common factor number is the GCF number.
So the greatest common factor 95998 and 96004 is 2.

Also check out the Least Common Multiple of 95998 and 96004