What is the Greatest Common Factor of 35785 and 35805?

Greatest common factor (GCF) of 35785 and 35805 is 5.

GCF(35785,35805) = 5

We will now calculate the prime factors of 35785 and 35805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35785 and 35805.

How to find the GCF of 35785 and 35805?

We will first find the prime factorization of 35785 and 35805. After we will calculate the factors of 35785 and 35805 and find the biggest common factor number .

Step-1: Prime Factorization of 35785

Prime factors of 35785 are 5, 17, 421. Prime factorization of 35785 in exponential form is:

35785 = 5¹ × 17¹ × 421¹

Step-2: Prime Factorization of 35805

Prime factors of 35805 are 3, 5, 7, 11, 31. Prime factorization of 35805 in exponential form is:

35805 = 3¹ × 5¹ × 7¹ × 11¹ × 31¹

Step-3: Factors of 35785

List of positive integer factors of 35785 that divides 35785 without a remainder.

1, 5, 17, 85, 421, 2105, 7157

Step-4: Factors of 35805

List of positive integer factors of 35805 that divides 35785 without a remainder.

1, 3, 5, 7, 11, 15, 21, 31, 33, 35, 55, 77, 93, 105, 155, 165, 217, 231, 341, 385, 465, 651, 1023, 1085, 1155, 1705, 2387, 3255, 5115, 7161, 11935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35785 and 35805. The biggest common factor number is the GCF number.
So the greatest common factor 35785 and 35805 is 5.

Also check out the Least Common Multiple of 35785 and 35805