What is the Greatest Common Factor of 65889 and 65904?

Greatest common factor (GCF) of 65889 and 65904 is 3.

GCF(65889,65904) = 3

We will now calculate the prime factors of 65889 and 65904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65889 and 65904.

How to find the GCF of 65889 and 65904?

We will first find the prime factorization of 65889 and 65904. After we will calculate the factors of 65889 and 65904 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 65904

Prime factors of 65904 are 2, 3, 1373. Prime factorization of 65904 in exponential form is:

65904 = 2⁴ × 3¹ × 1373¹

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 65904

List of positive integer factors of 65904 that divides 65889 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1373, 2746, 4119, 5492, 8238, 10984, 16476, 21968, 32952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65889 and 65904. The biggest common factor number is the GCF number.
So the greatest common factor 65889 and 65904 is 3.

Also check out the Least Common Multiple of 65889 and 65904