What is the Greatest Common Factor of 35805 and 35813?

Greatest common factor (GCF) of 35805 and 35813 is 1.

GCF(35805,35813) = 1

We will now calculate the prime factors of 35805 and 35813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35805 and 35813.

How to find the GCF of 35805 and 35813?

We will first find the prime factorization of 35805 and 35813. After we will calculate the factors of 35805 and 35813 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 35813

Prime factors of 35813 are 59, 607. Prime factorization of 35813 in exponential form is:

35813 = 59¹ × 607¹

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 35813

List of positive integer factors of 35813 that divides 35805 without a remainder.

1, 59, 607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35805 and 35813. The biggest common factor number is the GCF number.
So the greatest common factor 35805 and 35813 is 1.

Also check out the Least Common Multiple of 35805 and 35813