What is the Greatest Common Factor of 89713 and 89726?

Greatest common factor (GCF) of 89713 and 89726 is 13.

GCF(89713,89726) = 13

We will now calculate the prime factors of 89713 and 89726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89713 and 89726.

How to find the GCF of 89713 and 89726?

We will first find the prime factorization of 89713 and 89726. After we will calculate the factors of 89713 and 89726 and find the biggest common factor number .

Step-1: Prime Factorization of 89713

Prime factors of 89713 are 13, 67, 103. Prime factorization of 89713 in exponential form is:

89713 = 13¹ × 67¹ × 103¹

Step-2: 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-3: Factors of 89713

List of positive integer factors of 89713 that divides 89713 without a remainder.

1, 13, 67, 103, 871, 1339, 6901

Step-4: Factors of 89726

List of positive integer factors of 89726 that divides 89713 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89713 and 89726. The biggest common factor number is the GCF number.
So the greatest common factor 89713 and 89726 is 13.

Also check out the Least Common Multiple of 89713 and 89726