What is the Greatest Common Factor of 89315 and 89320?

Greatest common factor (GCF) of 89315 and 89320 is 5.

GCF(89315,89320) = 5

We will now calculate the prime factors of 89315 and 89320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89315 and 89320.

How to find the GCF of 89315 and 89320?

We will first find the prime factorization of 89315 and 89320. After we will calculate the factors of 89315 and 89320 and find the biggest common factor number .

Step-1: Prime Factorization of 89315

Prime factors of 89315 are 5, 17863. Prime factorization of 89315 in exponential form is:

89315 = 5¹ × 17863¹

Step-2: Prime Factorization of 89320

Prime factors of 89320 are 2, 5, 7, 11, 29. Prime factorization of 89320 in exponential form is:

89320 = 2³ × 5¹ × 7¹ × 11¹ × 29¹

Step-3: Factors of 89315

List of positive integer factors of 89315 that divides 89315 without a remainder.

1, 5, 17863

Step-4: Factors of 89320

List of positive integer factors of 89320 that divides 89315 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 28, 29, 35, 40, 44, 55, 56, 58, 70, 77, 88, 110, 116, 140, 145, 154, 203, 220, 232, 280, 290, 308, 319, 385, 406, 440, 580, 616, 638, 770, 812, 1015, 1160, 1276, 1540, 1595, 1624, 2030, 2233, 2552, 3080, 3190, 4060, 4466, 6380, 8120, 8932, 11165, 12760, 17864, 22330, 44660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89315 and 89320. The biggest common factor number is the GCF number.
So the greatest common factor 89315 and 89320 is 5.

Also check out the Least Common Multiple of 89315 and 89320