What is the Greatest Common Factor of 35805 and 35814?

Greatest common factor (GCF) of 35805 and 35814 is 3.

GCF(35805,35814) = 3

We will now calculate the prime factors of 35805 and 35814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35805 and 35814.

How to find the GCF of 35805 and 35814?

We will first find the prime factorization of 35805 and 35814. After we will calculate the factors of 35805 and 35814 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 35814

Prime factors of 35814 are 2, 3, 47, 127. Prime factorization of 35814 in exponential form is:

35814 = 2¹ × 3¹ × 47¹ × 127¹

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 35814

List of positive integer factors of 35814 that divides 35805 without a remainder.

1, 2, 3, 6, 47, 94, 127, 141, 254, 282, 381, 762, 5969, 11938, 17907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35805 and 35814. The biggest common factor number is the GCF number.
So the greatest common factor 35805 and 35814 is 3.

Also check out the Least Common Multiple of 35805 and 35814