What is the Greatest Common Factor of 35298 and 35316?

Greatest common factor (GCF) of 35298 and 35316 is 18.

GCF(35298,35316) = 18

We will now calculate the prime factors of 35298 and 35316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35298 and 35316.

How to find the GCF of 35298 and 35316?

We will first find the prime factorization of 35298 and 35316. After we will calculate the factors of 35298 and 35316 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35316

Prime factors of 35316 are 2, 3, 109. Prime factorization of 35316 in exponential form is:

35316 = 2² × 3⁴ × 109¹

Step-3: Factors of 35298

List of positive integer factors of 35298 that divides 35298 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

Step-4: Factors of 35316

List of positive integer factors of 35316 that divides 35298 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 109, 162, 218, 324, 327, 436, 654, 981, 1308, 1962, 2943, 3924, 5886, 8829, 11772, 17658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35298 and 35316. The biggest common factor number is the GCF number.
So the greatest common factor 35298 and 35316 is 18.

Also check out the Least Common Multiple of 35298 and 35316