What is the Greatest Common Factor of 28689 and 28706?

Greatest common factor (GCF) of 28689 and 28706 is 1.

GCF(28689,28706) = 1

We will now calculate the prime factors of 28689 and 28706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28689 and 28706.

How to find the GCF of 28689 and 28706?

We will first find the prime factorization of 28689 and 28706. After we will calculate the factors of 28689 and 28706 and find the biggest common factor number .

Step-1: Prime Factorization of 28689

Prime factors of 28689 are 3, 73, 131. Prime factorization of 28689 in exponential form is:

28689 = 3¹ × 73¹ × 131¹

Step-2: 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-3: Factors of 28689

List of positive integer factors of 28689 that divides 28689 without a remainder.

1, 3, 73, 131, 219, 393, 9563

Step-4: Factors of 28706

List of positive integer factors of 28706 that divides 28689 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28689 and 28706. The biggest common factor number is the GCF number.
So the greatest common factor 28689 and 28706 is 1.

Also check out the Least Common Multiple of 28689 and 28706