What is the Greatest Common Factor of 71004 and 71009?

Greatest common factor (GCF) of 71004 and 71009 is 1.

GCF(71004,71009) = 1

We will now calculate the prime factors of 71004 and 71009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71004 and 71009.

How to find the GCF of 71004 and 71009?

We will first find the prime factorization of 71004 and 71009. After we will calculate the factors of 71004 and 71009 and find the biggest common factor number .

Step-1: Prime Factorization of 71004

Prime factors of 71004 are 2, 3, 61, 97. Prime factorization of 71004 in exponential form is:

71004 = 2² × 3¹ × 61¹ × 97¹

Step-2: Prime Factorization of 71009

Prime factors of 71009 are 17, 4177. Prime factorization of 71009 in exponential form is:

71009 = 17¹ × 4177¹

Step-3: Factors of 71004

List of positive integer factors of 71004 that divides 71004 without a remainder.

1, 2, 3, 4, 6, 12, 61, 97, 122, 183, 194, 244, 291, 366, 388, 582, 732, 1164, 5917, 11834, 17751, 23668, 35502

Step-4: Factors of 71009

List of positive integer factors of 71009 that divides 71004 without a remainder.

1, 17, 4177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71004 and 71009. The biggest common factor number is the GCF number.
So the greatest common factor 71004 and 71009 is 1.

Also check out the Least Common Multiple of 71004 and 71009