What is the Greatest Common Factor of 35802 and 35810?

Greatest common factor (GCF) of 35802 and 35810 is 2.

GCF(35802,35810) = 2

We will now calculate the prime factors of 35802 and 35810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35802 and 35810.

How to find the GCF of 35802 and 35810?

We will first find the prime factorization of 35802 and 35810. After we will calculate the factors of 35802 and 35810 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35810

Prime factors of 35810 are 2, 5, 3581. Prime factorization of 35810 in exponential form is:

35810 = 2¹ × 5¹ × 3581¹

Step-3: Factors of 35802

List of positive integer factors of 35802 that divides 35802 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

Step-4: Factors of 35810

List of positive integer factors of 35810 that divides 35802 without a remainder.

1, 2, 5, 10, 3581, 7162, 17905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35802 and 35810. The biggest common factor number is the GCF number.
So the greatest common factor 35802 and 35810 is 2.

Also check out the Least Common Multiple of 35802 and 35810