What is the Greatest Common Factor of 35289 and 35298?

Greatest common factor (GCF) of 35289 and 35298 is 9.

GCF(35289,35298) = 9

We will now calculate the prime factors of 35289 and 35298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35289 and 35298.

How to find the GCF of 35289 and 35298?

We will first find the prime factorization of 35289 and 35298. After we will calculate the factors of 35289 and 35298 and find the biggest common factor number .

Step-1: Prime Factorization of 35289

Prime factors of 35289 are 3, 1307. Prime factorization of 35289 in exponential form is:

35289 = 3³ × 1307¹

Step-2: Prime Factorization of 35298

Prime factors of 35298 are 2, 3, 37, 53. Prime factorization of 35298 in exponential form is:

35298 = 2¹ × 3² × 37¹ × 53¹

Step-3: Factors of 35289

List of positive integer factors of 35289 that divides 35289 without a remainder.

1, 3, 9, 27, 1307, 3921, 11763

Step-4: Factors of 35298

List of positive integer factors of 35298 that divides 35289 without a remainder.

1, 2, 3, 6, 9, 18, 37, 53, 74, 106, 111, 159, 222, 318, 333, 477, 666, 954, 1961, 3922, 5883, 11766, 17649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35289 and 35298. The biggest common factor number is the GCF number.
So the greatest common factor 35289 and 35298 is 9.

Also check out the Least Common Multiple of 35289 and 35298