What is the Greatest Common Factor of 28714 and 28721?

Greatest common factor (GCF) of 28714 and 28721 is 7.

GCF(28714,28721) = 7

We will now calculate the prime factors of 28714 and 28721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28714 and 28721.

How to find the GCF of 28714 and 28721?

We will first find the prime factorization of 28714 and 28721. After we will calculate the factors of 28714 and 28721 and find the biggest common factor number .

Step-1: Prime Factorization of 28714

Prime factors of 28714 are 2, 7, 293. Prime factorization of 28714 in exponential form is:

28714 = 2¹ × 7² × 293¹

Step-2: Prime Factorization of 28721

Prime factors of 28721 are 7, 11, 373. Prime factorization of 28721 in exponential form is:

28721 = 7¹ × 11¹ × 373¹

Step-3: Factors of 28714

List of positive integer factors of 28714 that divides 28714 without a remainder.

1, 2, 7, 14, 49, 98, 293, 586, 2051, 4102, 14357

Step-4: Factors of 28721

List of positive integer factors of 28721 that divides 28714 without a remainder.

1, 7, 11, 77, 373, 2611, 4103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28714 and 28721. The biggest common factor number is the GCF number.
So the greatest common factor 28714 and 28721 is 7.

Also check out the Least Common Multiple of 28714 and 28721