What is the Greatest Common Factor of 65840 and 65849?

Greatest common factor (GCF) of 65840 and 65849 is 1.

GCF(65840,65849) = 1

We will now calculate the prime factors of 65840 and 65849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65840 and 65849.

How to find the GCF of 65840 and 65849?

We will first find the prime factorization of 65840 and 65849. After we will calculate the factors of 65840 and 65849 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 65849

Prime factors of 65849 are 7, 23, 409. Prime factorization of 65849 in exponential form is:

65849 = 7¹ × 23¹ × 409¹

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 65849

List of positive integer factors of 65849 that divides 65840 without a remainder.

1, 7, 23, 161, 409, 2863, 9407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65840 and 65849. The biggest common factor number is the GCF number.
So the greatest common factor 65840 and 65849 is 1.

Also check out the Least Common Multiple of 65840 and 65849