What is the Greatest Common Factor of 89386 and 89397?

Greatest common factor (GCF) of 89386 and 89397 is 11.

GCF(89386,89397) = 11

We will now calculate the prime factors of 89386 and 89397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89386 and 89397.

How to find the GCF of 89386 and 89397?

We will first find the prime factorization of 89386 and 89397. After we will calculate the factors of 89386 and 89397 and find the biggest common factor number .

Step-1: Prime Factorization of 89386

Prime factors of 89386 are 2, 11, 17, 239. Prime factorization of 89386 in exponential form is:

89386 = 2¹ × 11¹ × 17¹ × 239¹

Step-2: Prime Factorization of 89397

Prime factors of 89397 are 3, 7, 11, 43. Prime factorization of 89397 in exponential form is:

89397 = 3³ × 7¹ × 11¹ × 43¹

Step-3: Factors of 89386

List of positive integer factors of 89386 that divides 89386 without a remainder.

1, 2, 11, 17, 22, 34, 187, 239, 374, 478, 2629, 4063, 5258, 8126, 44693

Step-4: Factors of 89397

List of positive integer factors of 89397 that divides 89386 without a remainder.

1, 3, 7, 9, 11, 21, 27, 33, 43, 63, 77, 99, 129, 189, 231, 297, 301, 387, 473, 693, 903, 1161, 1419, 2079, 2709, 3311, 4257, 8127, 9933, 12771, 29799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89386 and 89397. The biggest common factor number is the GCF number.
So the greatest common factor 89386 and 89397 is 11.

Also check out the Least Common Multiple of 89386 and 89397