What is the Greatest Common Factor of 39998 and 40018?

Greatest common factor (GCF) of 39998 and 40018 is 2.

GCF(39998,40018) = 2

We will now calculate the prime factors of 39998 and 40018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39998 and 40018.

How to find the GCF of 39998 and 40018?

We will first find the prime factorization of 39998 and 40018. After we will calculate the factors of 39998 and 40018 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 40018

Prime factors of 40018 are 2, 11, 17, 107. Prime factorization of 40018 in exponential form is:

40018 = 2¹ × 11¹ × 17¹ × 107¹

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 40018

List of positive integer factors of 40018 that divides 39998 without a remainder.

1, 2, 11, 17, 22, 34, 107, 187, 214, 374, 1177, 1819, 2354, 3638, 20009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39998 and 40018. The biggest common factor number is the GCF number.
So the greatest common factor 39998 and 40018 is 2.

Also check out the Least Common Multiple of 39998 and 40018