What is the Greatest Common Factor of 28707 and 28721?

Greatest common factor (GCF) of 28707 and 28721 is 7.

GCF(28707,28721) = 7

We will now calculate the prime factors of 28707 and 28721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28707 and 28721.

How to find the GCF of 28707 and 28721?

We will first find the prime factorization of 28707 and 28721. After we will calculate the factors of 28707 and 28721 and find the biggest common factor number .

Step-1: Prime Factorization of 28707

Prime factors of 28707 are 3, 7, 1367. Prime factorization of 28707 in exponential form is:

28707 = 3¹ × 7¹ × 1367¹

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 28707

List of positive integer factors of 28707 that divides 28707 without a remainder.

1, 3, 7, 21, 1367, 4101, 9569

Step-4: Factors of 28721

List of positive integer factors of 28721 that divides 28707 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28707 and 28721. The biggest common factor number is the GCF number.
So the greatest common factor 28707 and 28721 is 7.

Also check out the Least Common Multiple of 28707 and 28721