What is the Greatest Common Factor of 99001 and 99009?

Greatest common factor (GCF) of 99001 and 99009 is 1.

GCF(99001,99009) = 1

We will now calculate the prime factors of 99001 and 99009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99001 and 99009.

How to find the GCF of 99001 and 99009?

We will first find the prime factorization of 99001 and 99009. After we will calculate the factors of 99001 and 99009 and find the biggest common factor number .

Step-1: Prime Factorization of 99001

Prime factors of 99001 are 7, 14143. Prime factorization of 99001 in exponential form is:

99001 = 7¹ × 14143¹

Step-2: Prime Factorization of 99009

Prime factors of 99009 are 3, 19, 193. Prime factorization of 99009 in exponential form is:

99009 = 3³ × 19¹ × 193¹

Step-3: Factors of 99001

List of positive integer factors of 99001 that divides 99001 without a remainder.

1, 7, 14143

Step-4: Factors of 99009

List of positive integer factors of 99009 that divides 99001 without a remainder.

1, 3, 9, 19, 27, 57, 171, 193, 513, 579, 1737, 3667, 5211, 11001, 33003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99001 and 99009. The biggest common factor number is the GCF number.
So the greatest common factor 99001 and 99009 is 1.

Also check out the Least Common Multiple of 99001 and 99009