What is the Greatest Common Factor of 40204 and 40223?

Greatest common factor (GCF) of 40204 and 40223 is 19.

GCF(40204,40223) = 19

We will now calculate the prime factors of 40204 and 40223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40204 and 40223.

How to find the GCF of 40204 and 40223?

We will first find the prime factorization of 40204 and 40223. After we will calculate the factors of 40204 and 40223 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 40223

Prime factors of 40223 are 19, 29, 73. Prime factorization of 40223 in exponential form is:

40223 = 19¹ × 29¹ × 73¹

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 40223

List of positive integer factors of 40223 that divides 40204 without a remainder.

1, 19, 29, 73, 551, 1387, 2117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40204 and 40223. The biggest common factor number is the GCF number.
So the greatest common factor 40204 and 40223 is 19.

Also check out the Least Common Multiple of 40204 and 40223