What is the Greatest Common Factor of 19995 and 20001?

Greatest common factor (GCF) of 19995 and 20001 is 3.

GCF(19995,20001) = 3

We will now calculate the prime factors of 19995 and 20001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19995 and 20001.

How to find the GCF of 19995 and 20001?

We will first find the prime factorization of 19995 and 20001. After we will calculate the factors of 19995 and 20001 and find the biggest common factor number .

Step-1: Prime Factorization of 19995

Prime factors of 19995 are 3, 5, 31, 43. Prime factorization of 19995 in exponential form is:

19995 = 3¹ × 5¹ × 31¹ × 43¹

Step-2: Prime Factorization of 20001

Prime factors of 20001 are 3, 59, 113. Prime factorization of 20001 in exponential form is:

20001 = 3¹ × 59¹ × 113¹

Step-3: Factors of 19995

List of positive integer factors of 19995 that divides 19995 without a remainder.

1, 3, 5, 15, 31, 43, 93, 129, 155, 215, 465, 645, 1333, 3999, 6665

Step-4: Factors of 20001

List of positive integer factors of 20001 that divides 19995 without a remainder.

1, 3, 59, 113, 177, 339, 6667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19995 and 20001. The biggest common factor number is the GCF number.
So the greatest common factor 19995 and 20001 is 3.

Also check out the Least Common Multiple of 19995 and 20001