What is the Greatest Common Factor of 96982 and 96999?

Greatest common factor (GCF) of 96982 and 96999 is 1.

GCF(96982,96999) = 1

We will now calculate the prime factors of 96982 and 96999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96982 and 96999.

How to find the GCF of 96982 and 96999?

We will first find the prime factorization of 96982 and 96999. After we will calculate the factors of 96982 and 96999 and find the biggest common factor number .

Step-1: Prime Factorization of 96982

Prime factors of 96982 are 2, 48491. Prime factorization of 96982 in exponential form is:

96982 = 2¹ × 48491¹

Step-2: Prime Factorization of 96999

Prime factors of 96999 are 3, 7, 31, 149. Prime factorization of 96999 in exponential form is:

96999 = 3¹ × 7¹ × 31¹ × 149¹

Step-3: Factors of 96982

List of positive integer factors of 96982 that divides 96982 without a remainder.

1, 2, 48491

Step-4: Factors of 96999

List of positive integer factors of 96999 that divides 96982 without a remainder.

1, 3, 7, 21, 31, 93, 149, 217, 447, 651, 1043, 3129, 4619, 13857, 32333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96982 and 96999. The biggest common factor number is the GCF number.
So the greatest common factor 96982 and 96999 is 1.

Also check out the Least Common Multiple of 96982 and 96999