What is the Greatest Common Factor of 35337 and 35343?

Greatest common factor (GCF) of 35337 and 35343 is 3.

GCF(35337,35343) = 3

We will now calculate the prime factors of 35337 and 35343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35337 and 35343.

How to find the GCF of 35337 and 35343?

We will first find the prime factorization of 35337 and 35343. After we will calculate the factors of 35337 and 35343 and find the biggest common factor number .

Step-1: Prime Factorization of 35337

Prime factors of 35337 are 3, 11779. Prime factorization of 35337 in exponential form is:

35337 = 3¹ × 11779¹

Step-2: Prime Factorization of 35343

Prime factors of 35343 are 3, 7, 11, 17. Prime factorization of 35343 in exponential form is:

35343 = 3³ × 7¹ × 11¹ × 17¹

Step-3: Factors of 35337

List of positive integer factors of 35337 that divides 35337 without a remainder.

1, 3, 11779

Step-4: Factors of 35343

List of positive integer factors of 35343 that divides 35337 without a remainder.

1, 3, 7, 9, 11, 17, 21, 27, 33, 51, 63, 77, 99, 119, 153, 187, 189, 231, 297, 357, 459, 561, 693, 1071, 1309, 1683, 2079, 3213, 3927, 5049, 11781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35337 and 35343. The biggest common factor number is the GCF number.
So the greatest common factor 35337 and 35343 is 3.

Also check out the Least Common Multiple of 35337 and 35343