What is the Greatest Common Factor of 89726 and 89743?

Greatest common factor (GCF) of 89726 and 89743 is 17.

GCF(89726,89743) = 17

We will now calculate the prime factors of 89726 and 89743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89726 and 89743.

How to find the GCF of 89726 and 89743?

We will first find the prime factorization of 89726 and 89743. After we will calculate the factors of 89726 and 89743 and find the biggest common factor number .

Step-1: Prime Factorization of 89726

Prime factors of 89726 are 2, 7, 13, 17, 29. Prime factorization of 89726 in exponential form is:

89726 = 2¹ × 7¹ × 13¹ × 17¹ × 29¹

Step-2: Prime Factorization of 89743

Prime factors of 89743 are 17, 5279. Prime factorization of 89743 in exponential form is:

89743 = 17¹ × 5279¹

Step-3: Factors of 89726

List of positive integer factors of 89726 that divides 89726 without a remainder.

1, 2, 7, 13, 14, 17, 26, 29, 34, 58, 91, 119, 182, 203, 221, 238, 377, 406, 442, 493, 754, 986, 1547, 2639, 3094, 3451, 5278, 6409, 6902, 12818, 44863

Step-4: Factors of 89743

List of positive integer factors of 89743 that divides 89726 without a remainder.

1, 17, 5279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89726 and 89743. The biggest common factor number is the GCF number.
So the greatest common factor 89726 and 89743 is 17.

Also check out the Least Common Multiple of 89726 and 89743