What is the Greatest Common Factor of 65985 and 66001?

Greatest common factor (GCF) of 65985 and 66001 is 1.

GCF(65985,66001) = 1

We will now calculate the prime factors of 65985 and 66001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65985 and 66001.

How to find the GCF of 65985 and 66001?

We will first find the prime factorization of 65985 and 66001. After we will calculate the factors of 65985 and 66001 and find the biggest common factor number .

Step-1: Prime Factorization of 65985

Prime factors of 65985 are 3, 5, 53, 83. Prime factorization of 65985 in exponential form is:

65985 = 3¹ × 5¹ × 53¹ × 83¹

Step-2: Prime Factorization of 66001

Prime factors of 66001 are 13, 5077. Prime factorization of 66001 in exponential form is:

66001 = 13¹ × 5077¹

Step-3: Factors of 65985

List of positive integer factors of 65985 that divides 65985 without a remainder.

1, 3, 5, 15, 53, 83, 159, 249, 265, 415, 795, 1245, 4399, 13197, 21995

Step-4: Factors of 66001

List of positive integer factors of 66001 that divides 65985 without a remainder.

1, 13, 5077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65985 and 66001. The biggest common factor number is the GCF number.
So the greatest common factor 65985 and 66001 is 1.

Also check out the Least Common Multiple of 65985 and 66001