What is the Greatest Common Factor of 89383 and 89397?

Greatest common factor (GCF) of 89383 and 89397 is 7.

GCF(89383,89397) = 7

We will now calculate the prime factors of 89383 and 89397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89383 and 89397.

How to find the GCF of 89383 and 89397?

We will first find the prime factorization of 89383 and 89397. After we will calculate the factors of 89383 and 89397 and find the biggest common factor number .

Step-1: Prime Factorization of 89383

Prime factors of 89383 are 7, 113. Prime factorization of 89383 in exponential form is:

89383 = 7¹ × 113²

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 89383

List of positive integer factors of 89383 that divides 89383 without a remainder.

1, 7, 113, 791, 12769

Step-4: Factors of 89397

List of positive integer factors of 89397 that divides 89383 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 89383 and 89397. The biggest common factor number is the GCF number.
So the greatest common factor 89383 and 89397 is 7.

Also check out the Least Common Multiple of 89383 and 89397