What is the Greatest Common Factor of 41998 and 42016?

Greatest common factor (GCF) of 41998 and 42016 is 2.

GCF(41998,42016) = 2

We will now calculate the prime factors of 41998 and 42016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41998 and 42016.

How to find the GCF of 41998 and 42016?

We will first find the prime factorization of 41998 and 42016. After we will calculate the factors of 41998 and 42016 and find the biggest common factor number .

Step-1: Prime Factorization of 41998

Prime factors of 41998 are 2, 11, 23, 83. Prime factorization of 41998 in exponential form is:

41998 = 2¹ × 11¹ × 23¹ × 83¹

Step-2: Prime Factorization of 42016

Prime factors of 42016 are 2, 13, 101. Prime factorization of 42016 in exponential form is:

42016 = 2⁵ × 13¹ × 101¹

Step-3: Factors of 41998

List of positive integer factors of 41998 that divides 41998 without a remainder.

1, 2, 11, 22, 23, 46, 83, 166, 253, 506, 913, 1826, 1909, 3818, 20999

Step-4: Factors of 42016

List of positive integer factors of 42016 that divides 41998 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 101, 104, 202, 208, 404, 416, 808, 1313, 1616, 2626, 3232, 5252, 10504, 21008

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41998 and 42016. The biggest common factor number is the GCF number.
So the greatest common factor 41998 and 42016 is 2.

Also check out the Least Common Multiple of 41998 and 42016