What is the Greatest Common Factor of 99982 and 99996?

Greatest common factor (GCF) of 99982 and 99996 is 2.

GCF(99982,99996) = 2

We will now calculate the prime factors of 99982 and 99996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99982 and 99996.

How to find the GCF of 99982 and 99996?

We will first find the prime factorization of 99982 and 99996. After we will calculate the factors of 99982 and 99996 and find the biggest common factor number .

Step-1: Prime Factorization of 99982

Prime factors of 99982 are 2, 49991. Prime factorization of 99982 in exponential form is:

99982 = 2¹ × 49991¹

Step-2: Prime Factorization of 99996

Prime factors of 99996 are 2, 3, 13, 641. Prime factorization of 99996 in exponential form is:

99996 = 2² × 3¹ × 13¹ × 641¹

Step-3: Factors of 99982

List of positive integer factors of 99982 that divides 99982 without a remainder.

1, 2, 49991

Step-4: Factors of 99996

List of positive integer factors of 99996 that divides 99982 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 641, 1282, 1923, 2564, 3846, 7692, 8333, 16666, 24999, 33332, 49998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99982 and 99996. The biggest common factor number is the GCF number.
So the greatest common factor 99982 and 99996 is 2.

Also check out the Least Common Multiple of 99982 and 99996