What is the Greatest Common Factor of 72005 and 72017?

Greatest common factor (GCF) of 72005 and 72017 is 1.

GCF(72005,72017) = 1

We will now calculate the prime factors of 72005 and 72017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72005 and 72017.

How to find the GCF of 72005 and 72017?

We will first find the prime factorization of 72005 and 72017. After we will calculate the factors of 72005 and 72017 and find the biggest common factor number .

Step-1: Prime Factorization of 72005

Prime factors of 72005 are 5, 14401. Prime factorization of 72005 in exponential form is:

72005 = 5¹ × 14401¹

Step-2: Prime Factorization of 72017

Prime factors of 72017 are 11, 6547. Prime factorization of 72017 in exponential form is:

72017 = 11¹ × 6547¹

Step-3: Factors of 72005

List of positive integer factors of 72005 that divides 72005 without a remainder.

1, 5, 14401

Step-4: Factors of 72017

List of positive integer factors of 72017 that divides 72005 without a remainder.

1, 11, 6547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72005 and 72017. The biggest common factor number is the GCF number.
So the greatest common factor 72005 and 72017 is 1.

Also check out the Least Common Multiple of 72005 and 72017