What is the Greatest Common Factor of 65999 and 66004?

Greatest common factor (GCF) of 65999 and 66004 is 1.

GCF(65999,66004) = 1

We will now calculate the prime factors of 65999 and 66004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65999 and 66004.

How to find the GCF of 65999 and 66004?

We will first find the prime factorization of 65999 and 66004. After we will calculate the factors of 65999 and 66004 and find the biggest common factor number .

Step-1: Prime Factorization of 65999

Prime factors of 65999 are 31, 2129. Prime factorization of 65999 in exponential form is:

65999 = 31¹ × 2129¹

Step-2: Prime Factorization of 66004

Prime factors of 66004 are 2, 29, 569. Prime factorization of 66004 in exponential form is:

66004 = 2² × 29¹ × 569¹

Step-3: Factors of 65999

List of positive integer factors of 65999 that divides 65999 without a remainder.

1, 31, 2129

Step-4: Factors of 66004

List of positive integer factors of 66004 that divides 65999 without a remainder.

1, 2, 4, 29, 58, 116, 569, 1138, 2276, 16501, 33002

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65999 and 66004. The biggest common factor number is the GCF number.
So the greatest common factor 65999 and 66004 is 1.

Also check out the Least Common Multiple of 65999 and 66004