What is the Greatest Common Factor of 65835 and 65846?

Greatest common factor (GCF) of 65835 and 65846 is 11.

GCF(65835,65846) = 11

We will now calculate the prime factors of 65835 and 65846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65835 and 65846.

How to find the GCF of 65835 and 65846?

We will first find the prime factorization of 65835 and 65846. After we will calculate the factors of 65835 and 65846 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65846

Prime factors of 65846 are 2, 11, 41, 73. Prime factorization of 65846 in exponential form is:

65846 = 2¹ × 11¹ × 41¹ × 73¹

Step-3: Factors of 65835

List of positive integer factors of 65835 that divides 65835 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

Step-4: Factors of 65846

List of positive integer factors of 65846 that divides 65835 without a remainder.

1, 2, 11, 22, 41, 73, 82, 146, 451, 803, 902, 1606, 2993, 5986, 32923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65835 and 65846. The biggest common factor number is the GCF number.
So the greatest common factor 65835 and 65846 is 11.

Also check out the Least Common Multiple of 65835 and 65846