What is the Greatest Common Factor of 71997 and 72011?

Greatest common factor (GCF) of 71997 and 72011 is 1.

GCF(71997,72011) = 1

We will now calculate the prime factors of 71997 and 72011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71997 and 72011.

How to find the GCF of 71997 and 72011?

We will first find the prime factorization of 71997 and 72011. After we will calculate the factors of 71997 and 72011 and find the biggest common factor number .

Step-1: Prime Factorization of 71997

Prime factors of 71997 are 3, 103, 233. Prime factorization of 71997 in exponential form is:

71997 = 3¹ × 103¹ × 233¹

Step-2: Prime Factorization of 72011

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

72011 = 107¹ × 673¹

Step-3: Factors of 71997

List of positive integer factors of 71997 that divides 71997 without a remainder.

1, 3, 103, 233, 309, 699, 23999

Step-4: Factors of 72011

List of positive integer factors of 72011 that divides 71997 without a remainder.

1, 107, 673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71997 and 72011. The biggest common factor number is the GCF number.
So the greatest common factor 71997 and 72011 is 1.

Also check out the Least Common Multiple of 71997 and 72011