What is the Greatest Common Factor of 71004 and 71017?

Greatest common factor (GCF) of 71004 and 71017 is 1.

GCF(71004,71017) = 1

We will now calculate the prime factors of 71004 and 71017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71004 and 71017.

How to find the GCF of 71004 and 71017?

We will first find the prime factorization of 71004 and 71017. After we will calculate the factors of 71004 and 71017 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 71017

Prime factors of 71017 are 47, 1511. Prime factorization of 71017 in exponential form is:

71017 = 47¹ × 1511¹

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 71017

List of positive integer factors of 71017 that divides 71004 without a remainder.

1, 47, 1511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71004 and 71017. The biggest common factor number is the GCF number.
So the greatest common factor 71004 and 71017 is 1.

Also check out the Least Common Multiple of 71004 and 71017