What is the Greatest Common Factor of 67998 and 68012?

Greatest common factor (GCF) of 67998 and 68012 is 14.

GCF(67998,68012) = 14

We will now calculate the prime factors of 67998 and 68012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67998 and 68012.

How to find the GCF of 67998 and 68012?

We will first find the prime factorization of 67998 and 68012. After we will calculate the factors of 67998 and 68012 and find the biggest common factor number .

Step-1: Prime Factorization of 67998

Prime factors of 67998 are 2, 3, 7, 1619. Prime factorization of 67998 in exponential form is:

67998 = 2¹ × 3¹ × 7¹ × 1619¹

Step-2: Prime Factorization of 68012

Prime factors of 68012 are 2, 7, 347. Prime factorization of 68012 in exponential form is:

68012 = 2² × 7² × 347¹

Step-3: Factors of 67998

List of positive integer factors of 67998 that divides 67998 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1619, 3238, 4857, 9714, 11333, 22666, 33999

Step-4: Factors of 68012

List of positive integer factors of 68012 that divides 67998 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 347, 694, 1388, 2429, 4858, 9716, 17003, 34006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67998 and 68012. The biggest common factor number is the GCF number.
So the greatest common factor 67998 and 68012 is 14.

Also check out the Least Common Multiple of 67998 and 68012