What is the Greatest Common Factor of 89726 and 89740?

Greatest common factor (GCF) of 89726 and 89740 is 14.

GCF(89726,89740) = 14

We will now calculate the prime factors of 89726 and 89740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89726 and 89740.

How to find the GCF of 89726 and 89740?

We will first find the prime factorization of 89726 and 89740. After we will calculate the factors of 89726 and 89740 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 89740

Prime factors of 89740 are 2, 5, 7, 641. Prime factorization of 89740 in exponential form is:

89740 = 2² × 5¹ × 7¹ × 641¹

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 89740

List of positive integer factors of 89740 that divides 89726 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 641, 1282, 2564, 3205, 4487, 6410, 8974, 12820, 17948, 22435, 44870

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89726 and 89740. The biggest common factor number is the GCF number.
So the greatest common factor 89726 and 89740 is 14.

Also check out the Least Common Multiple of 89726 and 89740