What is the Greatest Common Factor of 65835 and 65854?

Greatest common factor (GCF) of 65835 and 65854 is 19.

GCF(65835,65854) = 19

We will now calculate the prime factors of 65835 and 65854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65835 and 65854.

How to find the GCF of 65835 and 65854?

We will first find the prime factorization of 65835 and 65854. After we will calculate the factors of 65835 and 65854 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 65854

Prime factors of 65854 are 2, 19, 1733. Prime factorization of 65854 in exponential form is:

65854 = 2¹ × 19¹ × 1733¹

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 65854

List of positive integer factors of 65854 that divides 65835 without a remainder.

1, 2, 19, 38, 1733, 3466, 32927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65835 and 65854. The biggest common factor number is the GCF number.
So the greatest common factor 65835 and 65854 is 19.

Also check out the Least Common Multiple of 65835 and 65854