What is the Greatest Common Factor of 71986 and 72003?

Greatest common factor (GCF) of 71986 and 72003 is 1.

GCF(71986,72003) = 1

We will now calculate the prime factors of 71986 and 72003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71986 and 72003.

How to find the GCF of 71986 and 72003?

We will first find the prime factorization of 71986 and 72003. After we will calculate the factors of 71986 and 72003 and find the biggest common factor number .

Step-1: Prime Factorization of 71986

Prime factors of 71986 are 2, 35993. Prime factorization of 71986 in exponential form is:

71986 = 2¹ × 35993¹

Step-2: Prime Factorization of 72003

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

72003 = 3¹ × 24001¹

Step-3: Factors of 71986

List of positive integer factors of 71986 that divides 71986 without a remainder.

1, 2, 35993

Step-4: Factors of 72003

List of positive integer factors of 72003 that divides 71986 without a remainder.

1, 3, 24001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71986 and 72003. The biggest common factor number is the GCF number.
So the greatest common factor 71986 and 72003 is 1.

Also check out the Least Common Multiple of 71986 and 72003