What is the Greatest Common Factor of 28705 and 28711?

Greatest common factor (GCF) of 28705 and 28711 is 1.

GCF(28705,28711) = 1

We will now calculate the prime factors of 28705 and 28711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28705 and 28711.

How to find the GCF of 28705 and 28711?

We will first find the prime factorization of 28705 and 28711. After we will calculate the factors of 28705 and 28711 and find the biggest common factor number .

Step-1: Prime Factorization of 28705

Prime factors of 28705 are 5, 5741. Prime factorization of 28705 in exponential form is:

28705 = 5¹ × 5741¹

Step-2: Prime Factorization of 28711

Prime factors of 28711 are 28711. Prime factorization of 28711 in exponential form is:

28711 = 28711¹

Step-3: Factors of 28705

List of positive integer factors of 28705 that divides 28705 without a remainder.

1, 5, 5741

Step-4: Factors of 28711

List of positive integer factors of 28711 that divides 28705 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28705 and 28711. The biggest common factor number is the GCF number.
So the greatest common factor 28705 and 28711 is 1.

Also check out the Least Common Multiple of 28705 and 28711