What is the Greatest Common Factor of 65849 and 65864?

Greatest common factor (GCF) of 65849 and 65864 is 1.

GCF(65849,65864) = 1

We will now calculate the prime factors of 65849 and 65864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65849 and 65864.

How to find the GCF of 65849 and 65864?

We will first find the prime factorization of 65849 and 65864. After we will calculate the factors of 65849 and 65864 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65864

Prime factors of 65864 are 2, 8233. Prime factorization of 65864 in exponential form is:

65864 = 2³ × 8233¹

Step-3: Factors of 65849

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

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

Step-4: Factors of 65864

List of positive integer factors of 65864 that divides 65849 without a remainder.

1, 2, 4, 8, 8233, 16466, 32932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65849 and 65864. The biggest common factor number is the GCF number.
So the greatest common factor 65849 and 65864 is 1.

Also check out the Least Common Multiple of 65849 and 65864