What is the Greatest Common Factor of 35805 and 35821?

Greatest common factor (GCF) of 35805 and 35821 is 1.

GCF(35805,35821) = 1

We will now calculate the prime factors of 35805 and 35821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35805 and 35821.

How to find the GCF of 35805 and 35821?

We will first find the prime factorization of 35805 and 35821. After we will calculate the factors of 35805 and 35821 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35821

Prime factors of 35821 are 113, 317. Prime factorization of 35821 in exponential form is:

35821 = 113¹ × 317¹

Step-3: Factors of 35805

List of positive integer factors of 35805 that divides 35805 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

Step-4: Factors of 35821

List of positive integer factors of 35821 that divides 35805 without a remainder.

1, 113, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35805 and 35821. The biggest common factor number is the GCF number.
So the greatest common factor 35805 and 35821 is 1.

Also check out the Least Common Multiple of 35805 and 35821