What is the Greatest Common Factor of 65889 and 65896?

Greatest common factor (GCF) of 65889 and 65896 is 1.

GCF(65889,65896) = 1

We will now calculate the prime factors of 65889 and 65896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65889 and 65896.

How to find the GCF of 65889 and 65896?

We will first find the prime factorization of 65889 and 65896. After we will calculate the factors of 65889 and 65896 and find the biggest common factor number .

Step-1: Prime Factorization of 65889

Prime factors of 65889 are 3, 7321. Prime factorization of 65889 in exponential form is:

65889 = 3² × 7321¹

Step-2: Prime Factorization of 65896

Prime factors of 65896 are 2, 8237. Prime factorization of 65896 in exponential form is:

65896 = 2³ × 8237¹

Step-3: Factors of 65889

List of positive integer factors of 65889 that divides 65889 without a remainder.

1, 3, 9, 7321, 21963

Step-4: Factors of 65896

List of positive integer factors of 65896 that divides 65889 without a remainder.

1, 2, 4, 8, 8237, 16474, 32948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65889 and 65896. The biggest common factor number is the GCF number.
So the greatest common factor 65889 and 65896 is 1.

Also check out the Least Common Multiple of 65889 and 65896