What is the Greatest Common Factor of 32004 and 32009?

Greatest common factor (GCF) of 32004 and 32009 is 1.

GCF(32004,32009) = 1

We will now calculate the prime factors of 32004 and 32009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32004 and 32009.

How to find the GCF of 32004 and 32009?

We will first find the prime factorization of 32004 and 32009. After we will calculate the factors of 32004 and 32009 and find the biggest common factor number .

Step-1: Prime Factorization of 32004

Prime factors of 32004 are 2, 3, 7, 127. Prime factorization of 32004 in exponential form is:

32004 = 2² × 3² × 7¹ × 127¹

Step-2: Prime Factorization of 32009

Prime factors of 32009 are 32009. Prime factorization of 32009 in exponential form is:

32009 = 32009¹

Step-3: Factors of 32004

List of positive integer factors of 32004 that divides 32004 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 127, 252, 254, 381, 508, 762, 889, 1143, 1524, 1778, 2286, 2667, 3556, 4572, 5334, 8001, 10668, 16002

Step-4: Factors of 32009

List of positive integer factors of 32009 that divides 32004 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32004 and 32009. The biggest common factor number is the GCF number.
So the greatest common factor 32004 and 32009 is 1.

Also check out the Least Common Multiple of 32004 and 32009