What is the Greatest Common Factor of 71001 and 71017?

Greatest common factor (GCF) of 71001 and 71017 is 1.

GCF(71001,71017) = 1

We will now calculate the prime factors of 71001 and 71017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71001 and 71017.

How to find the GCF of 71001 and 71017?

We will first find the prime factorization of 71001 and 71017. After we will calculate the factors of 71001 and 71017 and find the biggest common factor number .

Step-1: Prime Factorization of 71001

Prime factors of 71001 are 3, 7, 23. Prime factorization of 71001 in exponential form is:

71001 = 3² × 7³ × 23¹

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 71001

List of positive integer factors of 71001 that divides 71001 without a remainder.

1, 3, 7, 9, 21, 23, 49, 63, 69, 147, 161, 207, 343, 441, 483, 1029, 1127, 1449, 3087, 3381, 7889, 10143, 23667

Step-4: Factors of 71017

List of positive integer factors of 71017 that divides 71001 without a remainder.

1, 47, 1511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71001 and 71017. The biggest common factor number is the GCF number.
So the greatest common factor 71001 and 71017 is 1.

Also check out the Least Common Multiple of 71001 and 71017