What is the Greatest Common Factor of 89320 and 89335?

Greatest common factor (GCF) of 89320 and 89335 is 5.

GCF(89320,89335) = 5

We will now calculate the prime factors of 89320 and 89335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89320 and 89335.

How to find the GCF of 89320 and 89335?

We will first find the prime factorization of 89320 and 89335. After we will calculate the factors of 89320 and 89335 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89335

Prime factors of 89335 are 5, 17, 1051. Prime factorization of 89335 in exponential form is:

89335 = 5¹ × 17¹ × 1051¹

Step-3: Factors of 89320

List of positive integer factors of 89320 that divides 89320 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

Step-4: Factors of 89335

List of positive integer factors of 89335 that divides 89320 without a remainder.

1, 5, 17, 85, 1051, 5255, 17867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89320 and 89335. The biggest common factor number is the GCF number.
So the greatest common factor 89320 and 89335 is 5.

Also check out the Least Common Multiple of 89320 and 89335