What is the Greatest Common Factor of 41998 and 42013?

Greatest common factor (GCF) of 41998 and 42013 is 1.

GCF(41998,42013) = 1

We will now calculate the prime factors of 41998 and 42013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41998 and 42013.

How to find the GCF of 41998 and 42013?

We will first find the prime factorization of 41998 and 42013. After we will calculate the factors of 41998 and 42013 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 42013

Prime factors of 42013 are 42013. Prime factorization of 42013 in exponential form is:

42013 = 42013¹

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 42013

List of positive integer factors of 42013 that divides 41998 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41998 and 42013. The biggest common factor number is the GCF number.
So the greatest common factor 41998 and 42013 is 1.

Also check out the Least Common Multiple of 41998 and 42013