What is the Greatest Common Factor of 65835 and 65842?

Greatest common factor (GCF) of 65835 and 65842 is 7.

GCF(65835,65842) = 7

We will now calculate the prime factors of 65835 and 65842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65835 and 65842.

How to find the GCF of 65835 and 65842?

We will first find the prime factorization of 65835 and 65842. After we will calculate the factors of 65835 and 65842 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 65842

Prime factors of 65842 are 2, 7, 4703. Prime factorization of 65842 in exponential form is:

65842 = 2¹ × 7¹ × 4703¹

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 65842

List of positive integer factors of 65842 that divides 65835 without a remainder.

1, 2, 7, 14, 4703, 9406, 32921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65835 and 65842. The biggest common factor number is the GCF number.
So the greatest common factor 65835 and 65842 is 7.

Also check out the Least Common Multiple of 65835 and 65842