What is the Greatest Common Factor of 29982 and 30001?

Greatest common factor (GCF) of 29982 and 30001 is 19.

GCF(29982,30001) = 19

We will now calculate the prime factors of 29982 and 30001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29982 and 30001.

How to find the GCF of 29982 and 30001?

We will first find the prime factorization of 29982 and 30001. After we will calculate the factors of 29982 and 30001 and find the biggest common factor number .

Step-1: Prime Factorization of 29982

Prime factors of 29982 are 2, 3, 19, 263. Prime factorization of 29982 in exponential form is:

29982 = 2¹ × 3¹ × 19¹ × 263¹

Step-2: Prime Factorization of 30001

Prime factors of 30001 are 19, 1579. Prime factorization of 30001 in exponential form is:

30001 = 19¹ × 1579¹

Step-3: Factors of 29982

List of positive integer factors of 29982 that divides 29982 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 263, 526, 789, 1578, 4997, 9994, 14991

Step-4: Factors of 30001

List of positive integer factors of 30001 that divides 29982 without a remainder.

1, 19, 1579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29982 and 30001. The biggest common factor number is the GCF number.
So the greatest common factor 29982 and 30001 is 19.

Also check out the Least Common Multiple of 29982 and 30001