What is the Greatest Common Factor of 35339 and 35343?

Greatest common factor (GCF) of 35339 and 35343 is 1.

GCF(35339,35343) = 1

We will now calculate the prime factors of 35339 and 35343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35339 and 35343.

How to find the GCF of 35339 and 35343?

We will first find the prime factorization of 35339 and 35343. After we will calculate the factors of 35339 and 35343 and find the biggest common factor number .

Step-1: Prime Factorization of 35339

Prime factors of 35339 are 35339. Prime factorization of 35339 in exponential form is:

35339 = 35339¹

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 35339

List of positive integer factors of 35339 that divides 35339 without a remainder.

Step-4: Factors of 35343

List of positive integer factors of 35343 that divides 35339 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 35339 and 35343. The biggest common factor number is the GCF number.
So the greatest common factor 35339 and 35343 is 1.

Also check out the Least Common Multiple of 35339 and 35343