What is the Greatest Common Factor of 65825 and 65835?

Greatest common factor (GCF) of 65825 and 65835 is 5.

GCF(65825,65835) = 5

We will now calculate the prime factors of 65825 and 65835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65825 and 65835.

How to find the GCF of 65825 and 65835?

We will first find the prime factorization of 65825 and 65835. After we will calculate the factors of 65825 and 65835 and find the biggest common factor number .

Step-1: Prime Factorization of 65825

Prime factors of 65825 are 5, 2633. Prime factorization of 65825 in exponential form is:

65825 = 5² × 2633¹

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 65825

List of positive integer factors of 65825 that divides 65825 without a remainder.

1, 5, 25, 2633, 13165

Step-4: Factors of 65835

List of positive integer factors of 65835 that divides 65825 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 65825 and 65835. The biggest common factor number is the GCF number.
So the greatest common factor 65825 and 65835 is 5.

Also check out the Least Common Multiple of 65825 and 65835