What is the Greatest Common Factor of 89782 and 89793?

Greatest common factor (GCF) of 89782 and 89793 is 11.

GCF(89782,89793) = 11

We will now calculate the prime factors of 89782 and 89793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89782 and 89793.

How to find the GCF of 89782 and 89793?

We will first find the prime factorization of 89782 and 89793. After we will calculate the factors of 89782 and 89793 and find the biggest common factor number .

Step-1: Prime Factorization of 89782

Prime factors of 89782 are 2, 7, 11, 53. Prime factorization of 89782 in exponential form is:

89782 = 2¹ × 7¹ × 11² × 53¹

Step-2: Prime Factorization of 89793

Prime factors of 89793 are 3, 11, 907. Prime factorization of 89793 in exponential form is:

89793 = 3² × 11¹ × 907¹

Step-3: Factors of 89782

List of positive integer factors of 89782 that divides 89782 without a remainder.

1, 2, 7, 11, 14, 22, 53, 77, 106, 121, 154, 242, 371, 583, 742, 847, 1166, 1694, 4081, 6413, 8162, 12826, 44891

Step-4: Factors of 89793

List of positive integer factors of 89793 that divides 89782 without a remainder.

1, 3, 9, 11, 33, 99, 907, 2721, 8163, 9977, 29931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89782 and 89793. The biggest common factor number is the GCF number.
So the greatest common factor 89782 and 89793 is 11.

Also check out the Least Common Multiple of 89782 and 89793