What is the Greatest Common Factor of 65840 and 65855?

Greatest common factor (GCF) of 65840 and 65855 is 5.

GCF(65840,65855) = 5

We will now calculate the prime factors of 65840 and 65855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65840 and 65855.

How to find the GCF of 65840 and 65855?

We will first find the prime factorization of 65840 and 65855. After we will calculate the factors of 65840 and 65855 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 65855

Prime factors of 65855 are 5, 13171. Prime factorization of 65855 in exponential form is:

65855 = 5¹ × 13171¹

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 65855

List of positive integer factors of 65855 that divides 65840 without a remainder.

1, 5, 13171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65840 and 65855. The biggest common factor number is the GCF number.
So the greatest common factor 65840 and 65855 is 5.

Also check out the Least Common Multiple of 65840 and 65855