What is the Greatest Common Factor of 66994 and 67014?

Greatest common factor (GCF) of 66994 and 67014 is 2.

GCF(66994,67014) = 2

We will now calculate the prime factors of 66994 and 67014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66994 and 67014.

How to find the GCF of 66994 and 67014?

We will first find the prime factorization of 66994 and 67014. After we will calculate the factors of 66994 and 67014 and find the biggest common factor number .

Step-1: Prime Factorization of 66994

Prime factors of 66994 are 2, 19, 41, 43. Prime factorization of 66994 in exponential form is:

66994 = 2¹ × 19¹ × 41¹ × 43¹

Step-2: Prime Factorization of 67014

Prime factors of 67014 are 2, 3, 17, 73. Prime factorization of 67014 in exponential form is:

67014 = 2¹ × 3³ × 17¹ × 73¹

Step-3: Factors of 66994

List of positive integer factors of 66994 that divides 66994 without a remainder.

1, 2, 19, 38, 41, 43, 82, 86, 779, 817, 1558, 1634, 1763, 3526, 33497

Step-4: Factors of 67014

List of positive integer factors of 67014 that divides 66994 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 73, 102, 146, 153, 219, 306, 438, 459, 657, 918, 1241, 1314, 1971, 2482, 3723, 3942, 7446, 11169, 22338, 33507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66994 and 67014. The biggest common factor number is the GCF number.
So the greatest common factor 66994 and 67014 is 2.

Also check out the Least Common Multiple of 66994 and 67014