What is the Greatest Common Factor of 89390 and 89397?

Greatest common factor (GCF) of 89390 and 89397 is 7.

GCF(89390,89397) = 7

We will now calculate the prime factors of 89390 and 89397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89390 and 89397.

How to find the GCF of 89390 and 89397?

We will first find the prime factorization of 89390 and 89397. After we will calculate the factors of 89390 and 89397 and find the biggest common factor number .

Step-1: Prime Factorization of 89390

Prime factors of 89390 are 2, 5, 7, 1277. Prime factorization of 89390 in exponential form is:

89390 = 2¹ × 5¹ × 7¹ × 1277¹

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 89390

List of positive integer factors of 89390 that divides 89390 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1277, 2554, 6385, 8939, 12770, 17878, 44695

Step-4: Factors of 89397

List of positive integer factors of 89397 that divides 89390 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 89390 and 89397. The biggest common factor number is the GCF number.
So the greatest common factor 89390 and 89397 is 7.

Also check out the Least Common Multiple of 89390 and 89397