What is the Greatest Common Factor of 72003 and 72007?

Greatest common factor (GCF) of 72003 and 72007 is 1.

GCF(72003,72007) = 1

We will now calculate the prime factors of 72003 and 72007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72003 and 72007.

How to find the GCF of 72003 and 72007?

We will first find the prime factorization of 72003 and 72007. After we will calculate the factors of 72003 and 72007 and find the biggest common factor number .

Step-1: Prime Factorization of 72003

Prime factors of 72003 are 3, 24001. Prime factorization of 72003 in exponential form is:

72003 = 3¹ × 24001¹

Step-2: 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-3: Factors of 72003

List of positive integer factors of 72003 that divides 72003 without a remainder.

1, 3, 24001

Step-4: Factors of 72007

List of positive integer factors of 72007 that divides 72003 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72003 and 72007. The biggest common factor number is the GCF number.
So the greatest common factor 72003 and 72007 is 1.

Also check out the Least Common Multiple of 72003 and 72007