What is the Greatest Common Factor of 35793 and 35802?

Greatest common factor (GCF) of 35793 and 35802 is 9.

GCF(35793,35802) = 9

We will now calculate the prime factors of 35793 and 35802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35793 and 35802.

How to find the GCF of 35793 and 35802?

We will first find the prime factorization of 35793 and 35802. After we will calculate the factors of 35793 and 35802 and find the biggest common factor number .

Step-1: Prime Factorization of 35793

Prime factors of 35793 are 3, 41, 97. Prime factorization of 35793 in exponential form is:

35793 = 3² × 41¹ × 97¹

Step-2: Prime Factorization of 35802

Prime factors of 35802 are 2, 3, 13, 17. Prime factorization of 35802 in exponential form is:

35802 = 2¹ × 3⁴ × 13¹ × 17¹

Step-3: Factors of 35793

List of positive integer factors of 35793 that divides 35793 without a remainder.

1, 3, 9, 41, 97, 123, 291, 369, 873, 3977, 11931

Step-4: Factors of 35802

List of positive integer factors of 35802 that divides 35793 without a remainder.

1, 2, 3, 6, 9, 13, 17, 18, 26, 27, 34, 39, 51, 54, 78, 81, 102, 117, 153, 162, 221, 234, 306, 351, 442, 459, 663, 702, 918, 1053, 1326, 1377, 1989, 2106, 2754, 3978, 5967, 11934, 17901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35793 and 35802. The biggest common factor number is the GCF number.
So the greatest common factor 35793 and 35802 is 9.

Also check out the Least Common Multiple of 35793 and 35802