What is the Greatest Common Factor of 89309 and 89320?

Greatest common factor (GCF) of 89309 and 89320 is 11.

GCF(89309,89320) = 11

We will now calculate the prime factors of 89309 and 89320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89309 and 89320.

How to find the GCF of 89309 and 89320?

We will first find the prime factorization of 89309 and 89320. After we will calculate the factors of 89309 and 89320 and find the biggest common factor number .

Step-1: Prime Factorization of 89309

Prime factors of 89309 are 11, 23, 353. Prime factorization of 89309 in exponential form is:

89309 = 11¹ × 23¹ × 353¹

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 89309

List of positive integer factors of 89309 that divides 89309 without a remainder.

1, 11, 23, 253, 353, 3883, 8119

Step-4: Factors of 89320

List of positive integer factors of 89320 that divides 89309 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 89309 and 89320. The biggest common factor number is the GCF number.
So the greatest common factor 89309 and 89320 is 11.

Also check out the Least Common Multiple of 89309 and 89320