What is the Greatest Common Factor of 72011 and 72017?

Greatest common factor (GCF) of 72011 and 72017 is 1.

GCF(72011,72017) = 1

We will now calculate the prime factors of 72011 and 72017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72011 and 72017.

How to find the GCF of 72011 and 72017?

We will first find the prime factorization of 72011 and 72017. After we will calculate the factors of 72011 and 72017 and find the biggest common factor number .

Step-1: Prime Factorization of 72011

Prime factors of 72011 are 107, 673. Prime factorization of 72011 in exponential form is:

72011 = 107¹ × 673¹

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 72011

List of positive integer factors of 72011 that divides 72011 without a remainder.

1, 107, 673

Step-4: Factors of 72017

List of positive integer factors of 72017 that divides 72011 without a remainder.

1, 11, 6547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72011 and 72017. The biggest common factor number is the GCF number.
So the greatest common factor 72011 and 72017 is 1.

Also check out the Least Common Multiple of 72011 and 72017