What is the Greatest Common Factor of 8739 and 8748?

Greatest common factor (GCF) of 8739 and 8748 is 9.

GCF(8739,8748) = 9

We will now calculate the prime factors of 8739 and 8748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8739 and 8748.

How to find the GCF of 8739 and 8748?

We will first find the prime factorization of 8739 and 8748. After we will calculate the factors of 8739 and 8748 and find the biggest common factor number .

Step-1: Prime Factorization of 8739

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

8739 = 3² × 971¹

Step-2: Prime Factorization of 8748

Prime factors of 8748 are 2, 3. Prime factorization of 8748 in exponential form is:

8748 = 2² × 3⁷

Step-3: Factors of 8739

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

1, 3, 9, 971, 2913

Step-4: Factors of 8748

List of positive integer factors of 8748 that divides 8739 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2187, 2916, 4374

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8739 and 8748. The biggest common factor number is the GCF number.
So the greatest common factor 8739 and 8748 is 9.

Also check out the Least Common Multiple of 8739 and 8748