What is the Greatest Common Factor of 35292 and 35298?

Greatest common factor (GCF) of 35292 and 35298 is 6.

GCF(35292,35298) = 6

We will now calculate the prime factors of 35292 and 35298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35292 and 35298.

How to find the GCF of 35292 and 35298?

We will first find the prime factorization of 35292 and 35298. After we will calculate the factors of 35292 and 35298 and find the biggest common factor number .

Step-1: Prime Factorization of 35292

Prime factors of 35292 are 2, 3, 17, 173. Prime factorization of 35292 in exponential form is:

35292 = 2² × 3¹ × 17¹ × 173¹

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 35292

List of positive integer factors of 35292 that divides 35292 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 173, 204, 346, 519, 692, 1038, 2076, 2941, 5882, 8823, 11764, 17646

Step-4: Factors of 35298

List of positive integer factors of 35298 that divides 35292 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 35292 and 35298. The biggest common factor number is the GCF number.
So the greatest common factor 35292 and 35298 is 6.

Also check out the Least Common Multiple of 35292 and 35298