What is the Greatest Common Factor of 65994 and 66014?

Greatest common factor (GCF) of 65994 and 66014 is 2.

GCF(65994,66014) = 2

We will now calculate the prime factors of 65994 and 66014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65994 and 66014.

How to find the GCF of 65994 and 66014?

We will first find the prime factorization of 65994 and 66014. After we will calculate the factors of 65994 and 66014 and find the biggest common factor number .

Step-1: Prime Factorization of 65994

Prime factors of 65994 are 2, 3, 17, 647. Prime factorization of 65994 in exponential form is:

65994 = 2¹ × 3¹ × 17¹ × 647¹

Step-2: Prime Factorization of 66014

Prime factors of 66014 are 2, 13, 2539. Prime factorization of 66014 in exponential form is:

66014 = 2¹ × 13¹ × 2539¹

Step-3: Factors of 65994

List of positive integer factors of 65994 that divides 65994 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 647, 1294, 1941, 3882, 10999, 21998, 32997

Step-4: Factors of 66014

List of positive integer factors of 66014 that divides 65994 without a remainder.

1, 2, 13, 26, 2539, 5078, 33007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65994 and 66014. The biggest common factor number is the GCF number.
So the greatest common factor 65994 and 66014 is 2.

Also check out the Least Common Multiple of 65994 and 66014