What is the Greatest Common Factor of 8748 and 8768?

Greatest common factor (GCF) of 8748 and 8768 is 4.

GCF(8748,8768) = 4

We will now calculate the prime factors of 8748 and 8768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8748 and 8768.

How to find the GCF of 8748 and 8768?

We will first find the prime factorization of 8748 and 8768. After we will calculate the factors of 8748 and 8768 and find the biggest common factor number .

Step-1: Prime Factorization of 8748

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

8748 = 2² × 3⁷

Step-2: Prime Factorization of 8768

Prime factors of 8768 are 2, 137. Prime factorization of 8768 in exponential form is:

8768 = 2⁶ × 137¹

Step-3: Factors of 8748

List of positive integer factors of 8748 that divides 8748 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

Step-4: Factors of 8768

List of positive integer factors of 8768 that divides 8748 without a remainder.

1, 2, 4, 8, 16, 32, 64, 137, 274, 548, 1096, 2192, 4384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8748 and 8768. The biggest common factor number is the GCF number.
So the greatest common factor 8748 and 8768 is 4.

Also check out the Least Common Multiple of 8748 and 8768