What is the Greatest Common Factor of 65845 and 65858?

Greatest common factor (GCF) of 65845 and 65858 is 13.

GCF(65845,65858) = 13

We will now calculate the prime factors of 65845 and 65858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65845 and 65858.

How to find the GCF of 65845 and 65858?

We will first find the prime factorization of 65845 and 65858. After we will calculate the factors of 65845 and 65858 and find the biggest common factor number .

Step-1: Prime Factorization of 65845

Prime factors of 65845 are 5, 13, 1013. Prime factorization of 65845 in exponential form is:

65845 = 5¹ × 13¹ × 1013¹

Step-2: Prime Factorization of 65858

Prime factors of 65858 are 2, 13, 17, 149. Prime factorization of 65858 in exponential form is:

65858 = 2¹ × 13¹ × 17¹ × 149¹

Step-3: Factors of 65845

List of positive integer factors of 65845 that divides 65845 without a remainder.

1, 5, 13, 65, 1013, 5065, 13169

Step-4: Factors of 65858

List of positive integer factors of 65858 that divides 65845 without a remainder.

1, 2, 13, 17, 26, 34, 149, 221, 298, 442, 1937, 2533, 3874, 5066, 32929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65845 and 65858. The biggest common factor number is the GCF number.
So the greatest common factor 65845 and 65858 is 13.

Also check out the Least Common Multiple of 65845 and 65858