What is the Greatest Common Factor of 95982 and 96002?

Greatest common factor (GCF) of 95982 and 96002 is 2.

GCF(95982,96002) = 2

We will now calculate the prime factors of 95982 and 96002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95982 and 96002.

How to find the GCF of 95982 and 96002?

We will first find the prime factorization of 95982 and 96002. After we will calculate the factors of 95982 and 96002 and find the biggest common factor number .

Step-1: Prime Factorization of 95982

Prime factors of 95982 are 2, 3, 17, 941. Prime factorization of 95982 in exponential form is:

95982 = 2¹ × 3¹ × 17¹ × 941¹

Step-2: Prime Factorization of 96002

Prime factors of 96002 are 2, 23, 2087. Prime factorization of 96002 in exponential form is:

96002 = 2¹ × 23¹ × 2087¹

Step-3: Factors of 95982

List of positive integer factors of 95982 that divides 95982 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 941, 1882, 2823, 5646, 15997, 31994, 47991

Step-4: Factors of 96002

List of positive integer factors of 96002 that divides 95982 without a remainder.

1, 2, 23, 46, 2087, 4174, 48001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95982 and 96002. The biggest common factor number is the GCF number.
So the greatest common factor 95982 and 96002 is 2.

Also check out the Least Common Multiple of 95982 and 96002