What is the Greatest Common Factor of 65823 and 65835?

Greatest common factor (GCF) of 65823 and 65835 is 3.

GCF(65823,65835) = 3

We will now calculate the prime factors of 65823 and 65835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65823 and 65835.

How to find the GCF of 65823 and 65835?

We will first find the prime factorization of 65823 and 65835. After we will calculate the factors of 65823 and 65835 and find the biggest common factor number .

Step-1: Prime Factorization of 65823

Prime factors of 65823 are 3, 37, 593. Prime factorization of 65823 in exponential form is:

65823 = 3¹ × 37¹ × 593¹

Step-2: Prime Factorization of 65835

Prime factors of 65835 are 3, 5, 7, 11, 19. Prime factorization of 65835 in exponential form is:

65835 = 3² × 5¹ × 7¹ × 11¹ × 19¹

Step-3: Factors of 65823

List of positive integer factors of 65823 that divides 65823 without a remainder.

1, 3, 37, 111, 593, 1779, 21941

Step-4: Factors of 65835

List of positive integer factors of 65835 that divides 65823 without a remainder.

1, 3, 5, 7, 9, 11, 15, 19, 21, 33, 35, 45, 55, 57, 63, 77, 95, 99, 105, 133, 165, 171, 209, 231, 285, 315, 385, 399, 495, 627, 665, 693, 855, 1045, 1155, 1197, 1463, 1881, 1995, 3135, 3465, 4389, 5985, 7315, 9405, 13167, 21945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65823 and 65835. The biggest common factor number is the GCF number.
So the greatest common factor 65823 and 65835 is 3.

Also check out the Least Common Multiple of 65823 and 65835