What is the Greatest Common Factor of 65840 and 65845?

Greatest common factor (GCF) of 65840 and 65845 is 5.

GCF(65840,65845) = 5

We will now calculate the prime factors of 65840 and 65845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65840 and 65845.

How to find the GCF of 65840 and 65845?

We will first find the prime factorization of 65840 and 65845. After we will calculate the factors of 65840 and 65845 and find the biggest common factor number .

Step-1: Prime Factorization of 65840

Prime factors of 65840 are 2, 5, 823. Prime factorization of 65840 in exponential form is:

65840 = 2⁴ × 5¹ × 823¹

Step-2: 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-3: Factors of 65840

List of positive integer factors of 65840 that divides 65840 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 823, 1646, 3292, 4115, 6584, 8230, 13168, 16460, 32920

Step-4: Factors of 65845

List of positive integer factors of 65845 that divides 65840 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65840 and 65845. The biggest common factor number is the GCF number.
So the greatest common factor 65840 and 65845 is 5.

Also check out the Least Common Multiple of 65840 and 65845