What is the Greatest Common Factor of 72007 and 72011?

Greatest common factor (GCF) of 72007 and 72011 is 1.

GCF(72007,72011) = 1

We will now calculate the prime factors of 72007 and 72011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72007 and 72011.

How to find the GCF of 72007 and 72011?

We will first find the prime factorization of 72007 and 72011. After we will calculate the factors of 72007 and 72011 and find the biggest common factor number .

Step-1: Prime Factorization of 72007

Prime factors of 72007 are 13, 29, 191. Prime factorization of 72007 in exponential form is:

72007 = 13¹ × 29¹ × 191¹

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 72007

List of positive integer factors of 72007 that divides 72007 without a remainder.

1, 13, 29, 191, 377, 2483, 5539

Step-4: Factors of 72011

List of positive integer factors of 72011 that divides 72007 without a remainder.

1, 107, 673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72007 and 72011. The biggest common factor number is the GCF number.
So the greatest common factor 72007 and 72011 is 1.

Also check out the Least Common Multiple of 72007 and 72011