What is the Greatest Common Factor of 28706 and 28723?

Greatest common factor (GCF) of 28706 and 28723 is 1.

GCF(28706,28723) = 1

We will now calculate the prime factors of 28706 and 28723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28706 and 28723.

How to find the GCF of 28706 and 28723?

We will first find the prime factorization of 28706 and 28723. After we will calculate the factors of 28706 and 28723 and find the biggest common factor number .

Step-1: Prime Factorization of 28706

Prime factors of 28706 are 2, 31, 463. Prime factorization of 28706 in exponential form is:

28706 = 2¹ × 31¹ × 463¹

Step-2: Prime Factorization of 28723

Prime factors of 28723 are 28723. Prime factorization of 28723 in exponential form is:

28723 = 28723¹

Step-3: Factors of 28706

List of positive integer factors of 28706 that divides 28706 without a remainder.

1, 2, 31, 62, 463, 926, 14353

Step-4: Factors of 28723

List of positive integer factors of 28723 that divides 28706 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28706 and 28723. The biggest common factor number is the GCF number.
So the greatest common factor 28706 and 28723 is 1.

Also check out the Least Common Multiple of 28706 and 28723