What is the Greatest Common Factor of 72011 and 72018?

Greatest common factor (GCF) of 72011 and 72018 is 1.

GCF(72011,72018) = 1

We will now calculate the prime factors of 72011 and 72018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72011 and 72018.

How to find the GCF of 72011 and 72018?

We will first find the prime factorization of 72011 and 72018. After we will calculate the factors of 72011 and 72018 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 72018

Prime factors of 72018 are 2, 3, 4001. Prime factorization of 72018 in exponential form is:

72018 = 2¹ × 3² × 4001¹

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 72018

List of positive integer factors of 72018 that divides 72011 without a remainder.

1, 2, 3, 6, 9, 18, 4001, 8002, 12003, 24006, 36009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72011 and 72018. The biggest common factor number is the GCF number.
So the greatest common factor 72011 and 72018 is 1.

Also check out the Least Common Multiple of 72011 and 72018