What is the Greatest Common Factor of 40204 and 40208?

Greatest common factor (GCF) of 40204 and 40208 is 4.

GCF(40204,40208) = 4

We will now calculate the prime factors of 40204 and 40208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40204 and 40208.

How to find the GCF of 40204 and 40208?

We will first find the prime factorization of 40204 and 40208. After we will calculate the factors of 40204 and 40208 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 40208

Prime factors of 40208 are 2, 7, 359. Prime factorization of 40208 in exponential form is:

40208 = 2⁴ × 7¹ × 359¹

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 40208

List of positive integer factors of 40208 that divides 40204 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 359, 718, 1436, 2513, 2872, 5026, 5744, 10052, 20104

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40204 and 40208. The biggest common factor number is the GCF number.
So the greatest common factor 40204 and 40208 is 4.

Also check out the Least Common Multiple of 40204 and 40208