What is the Greatest Common Factor of 28845 and 28861?

Greatest common factor (GCF) of 28845 and 28861 is 1.

GCF(28845,28861) = 1

We will now calculate the prime factors of 28845 and 28861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28845 and 28861.

How to find the GCF of 28845 and 28861?

We will first find the prime factorization of 28845 and 28861. After we will calculate the factors of 28845 and 28861 and find the biggest common factor number .

Step-1: Prime Factorization of 28845

Prime factors of 28845 are 3, 5, 641. Prime factorization of 28845 in exponential form is:

28845 = 3² × 5¹ × 641¹

Step-2: Prime Factorization of 28861

Prime factors of 28861 are 7, 19, 31. Prime factorization of 28861 in exponential form is:

28861 = 7² × 19¹ × 31¹

Step-3: Factors of 28845

List of positive integer factors of 28845 that divides 28845 without a remainder.

1, 3, 5, 9, 15, 45, 641, 1923, 3205, 5769, 9615

Step-4: Factors of 28861

List of positive integer factors of 28861 that divides 28845 without a remainder.

1, 7, 19, 31, 49, 133, 217, 589, 931, 1519, 4123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28845 and 28861. The biggest common factor number is the GCF number.
So the greatest common factor 28845 and 28861 is 1.

Also check out the Least Common Multiple of 28845 and 28861