What is the Greatest Common Factor of 28005 and 28022?

Greatest common factor (GCF) of 28005 and 28022 is 1.

GCF(28005,28022) = 1

We will now calculate the prime factors of 28005 and 28022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28005 and 28022.

How to find the GCF of 28005 and 28022?

We will first find the prime factorization of 28005 and 28022. After we will calculate the factors of 28005 and 28022 and find the biggest common factor number .

Step-1: Prime Factorization of 28005

Prime factors of 28005 are 3, 5, 1867. Prime factorization of 28005 in exponential form is:

28005 = 3¹ × 5¹ × 1867¹

Step-2: Prime Factorization of 28022

Prime factors of 28022 are 2, 14011. Prime factorization of 28022 in exponential form is:

28022 = 2¹ × 14011¹

Step-3: Factors of 28005

List of positive integer factors of 28005 that divides 28005 without a remainder.

1, 3, 5, 15, 1867, 5601, 9335

Step-4: Factors of 28022

List of positive integer factors of 28022 that divides 28005 without a remainder.

1, 2, 14011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28005 and 28022. The biggest common factor number is the GCF number.
So the greatest common factor 28005 and 28022 is 1.

Also check out the Least Common Multiple of 28005 and 28022