What is the Greatest Common Factor of 8772 and 8789?

Greatest common factor (GCF) of 8772 and 8789 is 17.

GCF(8772,8789) = 17

We will now calculate the prime factors of 8772 and 8789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8772 and 8789.

How to find the GCF of 8772 and 8789?

We will first find the prime factorization of 8772 and 8789. After we will calculate the factors of 8772 and 8789 and find the biggest common factor number .

Step-1: Prime Factorization of 8772

Prime factors of 8772 are 2, 3, 17, 43. Prime factorization of 8772 in exponential form is:

8772 = 2² × 3¹ × 17¹ × 43¹

Step-2: Prime Factorization of 8789

Prime factors of 8789 are 11, 17, 47. Prime factorization of 8789 in exponential form is:

8789 = 11¹ × 17¹ × 47¹

Step-3: Factors of 8772

List of positive integer factors of 8772 that divides 8772 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 43, 51, 68, 86, 102, 129, 172, 204, 258, 516, 731, 1462, 2193, 2924, 4386

Step-4: Factors of 8789

List of positive integer factors of 8789 that divides 8772 without a remainder.

1, 11, 17, 47, 187, 517, 799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8772 and 8789. The biggest common factor number is the GCF number.
So the greatest common factor 8772 and 8789 is 17.

Also check out the Least Common Multiple of 8772 and 8789