What is the Greatest Common Factor of 89726 and 89739?

Greatest common factor (GCF) of 89726 and 89739 is 13.

GCF(89726,89739) = 13

We will now calculate the prime factors of 89726 and 89739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89726 and 89739.

How to find the GCF of 89726 and 89739?

We will first find the prime factorization of 89726 and 89739. After we will calculate the factors of 89726 and 89739 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 89739

Prime factors of 89739 are 3, 13, 59. Prime factorization of 89739 in exponential form is:

89739 = 3² × 13² × 59¹

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 89739

List of positive integer factors of 89739 that divides 89726 without a remainder.

1, 3, 9, 13, 39, 59, 117, 169, 177, 507, 531, 767, 1521, 2301, 6903, 9971, 29913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89726 and 89739. The biggest common factor number is the GCF number.
So the greatest common factor 89726 and 89739 is 13.

Also check out the Least Common Multiple of 89726 and 89739