What is the Greatest Common Factor of 67994 and 68014?

Greatest common factor (GCF) of 67994 and 68014 is 2.

GCF(67994,68014) = 2

We will now calculate the prime factors of 67994 and 68014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67994 and 68014.

How to find the GCF of 67994 and 68014?

We will first find the prime factorization of 67994 and 68014. After we will calculate the factors of 67994 and 68014 and find the biggest common factor number .

Step-1: Prime Factorization of 67994

Prime factors of 67994 are 2, 33997. Prime factorization of 67994 in exponential form is:

67994 = 2¹ × 33997¹

Step-2: Prime Factorization of 68014

Prime factors of 68014 are 2, 31, 1097. Prime factorization of 68014 in exponential form is:

68014 = 2¹ × 31¹ × 1097¹

Step-3: Factors of 67994

List of positive integer factors of 67994 that divides 67994 without a remainder.

1, 2, 33997

Step-4: Factors of 68014

List of positive integer factors of 68014 that divides 67994 without a remainder.

1, 2, 31, 62, 1097, 2194, 34007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67994 and 68014. The biggest common factor number is the GCF number.
So the greatest common factor 67994 and 68014 is 2.

Also check out the Least Common Multiple of 67994 and 68014