What is the Greatest Common Factor of 40204 and 40214?

Greatest common factor (GCF) of 40204 and 40214 is 2.

GCF(40204,40214) = 2

We will now calculate the prime factors of 40204 and 40214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40204 and 40214.

How to find the GCF of 40204 and 40214?

We will first find the prime factorization of 40204 and 40214. After we will calculate the factors of 40204 and 40214 and find the biggest common factor number .

Step-1: Prime Factorization of 40204

Prime factors of 40204 are 2, 19, 23. Prime factorization of 40204 in exponential form is:

40204 = 2² × 19¹ × 23²

Step-2: Prime Factorization of 40214

Prime factors of 40214 are 2, 20107. Prime factorization of 40214 in exponential form is:

40214 = 2¹ × 20107¹

Step-3: Factors of 40204

List of positive integer factors of 40204 that divides 40204 without a remainder.

1, 2, 4, 19, 23, 38, 46, 76, 92, 437, 529, 874, 1058, 1748, 2116, 10051, 20102

Step-4: Factors of 40214

List of positive integer factors of 40214 that divides 40204 without a remainder.

1, 2, 20107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40204 and 40214. The biggest common factor number is the GCF number.
So the greatest common factor 40204 and 40214 is 2.

Also check out the Least Common Multiple of 40204 and 40214