What is the Greatest Common Factor of 68280 and 68289?

Greatest common factor (GCF) of 68280 and 68289 is 3.

GCF(68280,68289) = 3

We will now calculate the prime factors of 68280 and 68289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68280 and 68289.

How to find the GCF of 68280 and 68289?

We will first find the prime factorization of 68280 and 68289. After we will calculate the factors of 68280 and 68289 and find the biggest common factor number .

Step-1: Prime Factorization of 68280

Prime factors of 68280 are 2, 3, 5, 569. Prime factorization of 68280 in exponential form is:

68280 = 2³ × 3¹ × 5¹ × 569¹

Step-2: Prime Factorization of 68289

Prime factors of 68289 are 3, 13, 17, 103. Prime factorization of 68289 in exponential form is:

68289 = 3¹ × 13¹ × 17¹ × 103¹

Step-3: Factors of 68280

List of positive integer factors of 68280 that divides 68280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 569, 1138, 1707, 2276, 2845, 3414, 4552, 5690, 6828, 8535, 11380, 13656, 17070, 22760, 34140

Step-4: Factors of 68289

List of positive integer factors of 68289 that divides 68280 without a remainder.

1, 3, 13, 17, 39, 51, 103, 221, 309, 663, 1339, 1751, 4017, 5253, 22763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68280 and 68289. The biggest common factor number is the GCF number.
So the greatest common factor 68280 and 68289 is 3.

Also check out the Least Common Multiple of 68280 and 68289