What is the Greatest Common Factor of 39998 and 40012?

Greatest common factor (GCF) of 39998 and 40012 is 14.

GCF(39998,40012) = 14

We will now calculate the prime factors of 39998 and 40012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39998 and 40012.

How to find the GCF of 39998 and 40012?

We will first find the prime factorization of 39998 and 40012. After we will calculate the factors of 39998 and 40012 and find the biggest common factor number .

Step-1: Prime Factorization of 39998

Prime factors of 39998 are 2, 7, 2857. Prime factorization of 39998 in exponential form is:

39998 = 2¹ × 7¹ × 2857¹

Step-2: Prime Factorization of 40012

Prime factors of 40012 are 2, 7, 1429. Prime factorization of 40012 in exponential form is:

40012 = 2² × 7¹ × 1429¹

Step-3: Factors of 39998

List of positive integer factors of 39998 that divides 39998 without a remainder.

1, 2, 7, 14, 2857, 5714, 19999

Step-4: Factors of 40012

List of positive integer factors of 40012 that divides 39998 without a remainder.

1, 2, 4, 7, 14, 28, 1429, 2858, 5716, 10003, 20006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39998 and 40012. The biggest common factor number is the GCF number.
So the greatest common factor 39998 and 40012 is 14.

Also check out the Least Common Multiple of 39998 and 40012