What is the Greatest Common Factor of 28706 and 28717?

Greatest common factor (GCF) of 28706 and 28717 is 1.

GCF(28706,28717) = 1

We will now calculate the prime factors of 28706 and 28717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28706 and 28717.

How to find the GCF of 28706 and 28717?

We will first find the prime factorization of 28706 and 28717. After we will calculate the factors of 28706 and 28717 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 28717

Prime factors of 28717 are 13, 47. Prime factorization of 28717 in exponential form is:

28717 = 13¹ × 47²

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 28717

List of positive integer factors of 28717 that divides 28706 without a remainder.

1, 13, 47, 611, 2209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28706 and 28717. The biggest common factor number is the GCF number.
So the greatest common factor 28706 and 28717 is 1.

Also check out the Least Common Multiple of 28706 and 28717