What is the Greatest Common Factor of 80072 and 80091?

Greatest common factor (GCF) of 80072 and 80091 is 1.

GCF(80072,80091) = 1

We will now calculate the prime factors of 80072 and 80091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80072 and 80091.

How to find the GCF of 80072 and 80091?

We will first find the prime factorization of 80072 and 80091. After we will calculate the factors of 80072 and 80091 and find the biggest common factor number .

Step-1: Prime Factorization of 80072

Prime factors of 80072 are 2, 10009. Prime factorization of 80072 in exponential form is:

80072 = 2³ × 10009¹

Step-2: Prime Factorization of 80091

Prime factors of 80091 are 3, 11, 809. Prime factorization of 80091 in exponential form is:

80091 = 3² × 11¹ × 809¹

Step-3: Factors of 80072

List of positive integer factors of 80072 that divides 80072 without a remainder.

1, 2, 4, 8, 10009, 20018, 40036

Step-4: Factors of 80091

List of positive integer factors of 80091 that divides 80072 without a remainder.

1, 3, 9, 11, 33, 99, 809, 2427, 7281, 8899, 26697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80072 and 80091. The biggest common factor number is the GCF number.
So the greatest common factor 80072 and 80091 is 1.

Also check out the Least Common Multiple of 80072 and 80091