What is the Greatest Common Factor of 8721 and 8739?

Greatest common factor (GCF) of 8721 and 8739 is 9.

GCF(8721,8739) = 9

We will now calculate the prime factors of 8721 and 8739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8721 and 8739.

How to find the GCF of 8721 and 8739?

We will first find the prime factorization of 8721 and 8739. After we will calculate the factors of 8721 and 8739 and find the biggest common factor number .

Step-1: Prime Factorization of 8721

Prime factors of 8721 are 3, 17, 19. Prime factorization of 8721 in exponential form is:

8721 = 3³ × 17¹ × 19¹

Step-2: Prime Factorization of 8739

Prime factors of 8739 are 3, 971. Prime factorization of 8739 in exponential form is:

8739 = 3² × 971¹

Step-3: Factors of 8721

List of positive integer factors of 8721 that divides 8721 without a remainder.

1, 3, 9, 17, 19, 27, 51, 57, 153, 171, 323, 459, 513, 969, 2907

Step-4: Factors of 8739

List of positive integer factors of 8739 that divides 8721 without a remainder.

1, 3, 9, 971, 2913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8721 and 8739. The biggest common factor number is the GCF number.
So the greatest common factor 8721 and 8739 is 9.

Also check out the Least Common Multiple of 8721 and 8739