What is the Greatest Common Factor of 28686 and 28693?

Greatest common factor (GCF) of 28686 and 28693 is 7.

GCF(28686,28693) = 7

We will now calculate the prime factors of 28686 and 28693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28686 and 28693.

How to find the GCF of 28686 and 28693?

We will first find the prime factorization of 28686 and 28693. After we will calculate the factors of 28686 and 28693 and find the biggest common factor number .

Step-1: Prime Factorization of 28686

Prime factors of 28686 are 2, 3, 7, 683. Prime factorization of 28686 in exponential form is:

28686 = 2¹ × 3¹ × 7¹ × 683¹

Step-2: Prime Factorization of 28693

Prime factors of 28693 are 7, 4099. Prime factorization of 28693 in exponential form is:

28693 = 7¹ × 4099¹

Step-3: Factors of 28686

List of positive integer factors of 28686 that divides 28686 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 683, 1366, 2049, 4098, 4781, 9562, 14343

Step-4: Factors of 28693

List of positive integer factors of 28693 that divides 28686 without a remainder.

1, 7, 4099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28686 and 28693. The biggest common factor number is the GCF number.
So the greatest common factor 28686 and 28693 is 7.

Also check out the Least Common Multiple of 28686 and 28693