What is the Greatest Common Factor of 89782 and 89789?

Greatest common factor (GCF) of 89782 and 89789 is 7.

GCF(89782,89789) = 7

We will now calculate the prime factors of 89782 and 89789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89782 and 89789.

How to find the GCF of 89782 and 89789?

We will first find the prime factorization of 89782 and 89789. After we will calculate the factors of 89782 and 89789 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 89789

Prime factors of 89789 are 7, 101, 127. Prime factorization of 89789 in exponential form is:

89789 = 7¹ × 101¹ × 127¹

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 89789

List of positive integer factors of 89789 that divides 89782 without a remainder.

1, 7, 101, 127, 707, 889, 12827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89782 and 89789. The biggest common factor number is the GCF number.
So the greatest common factor 89782 and 89789 is 7.

Also check out the Least Common Multiple of 89782 and 89789