What is the Greatest Common Factor of 41994 and 42014?

Greatest common factor (GCF) of 41994 and 42014 is 2.

GCF(41994,42014) = 2

We will now calculate the prime factors of 41994 and 42014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41994 and 42014.

How to find the GCF of 41994 and 42014?

We will first find the prime factorization of 41994 and 42014. After we will calculate the factors of 41994 and 42014 and find the biggest common factor number .

Step-1: Prime Factorization of 41994

Prime factors of 41994 are 2, 3, 2333. Prime factorization of 41994 in exponential form is:

41994 = 2¹ × 3² × 2333¹

Step-2: Prime Factorization of 42014

Prime factors of 42014 are 2, 7, 3001. Prime factorization of 42014 in exponential form is:

42014 = 2¹ × 7¹ × 3001¹

Step-3: Factors of 41994

List of positive integer factors of 41994 that divides 41994 without a remainder.

1, 2, 3, 6, 9, 18, 2333, 4666, 6999, 13998, 20997

Step-4: Factors of 42014

List of positive integer factors of 42014 that divides 41994 without a remainder.

1, 2, 7, 14, 3001, 6002, 21007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41994 and 42014. The biggest common factor number is the GCF number.
So the greatest common factor 41994 and 42014 is 2.

Also check out the Least Common Multiple of 41994 and 42014