What is the Greatest Common Factor of 40208 and 40221?

Greatest common factor (GCF) of 40208 and 40221 is 1.

GCF(40208,40221) = 1

We will now calculate the prime factors of 40208 and 40221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40208 and 40221.

How to find the GCF of 40208 and 40221?

We will first find the prime factorization of 40208 and 40221. After we will calculate the factors of 40208 and 40221 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40221

Prime factors of 40221 are 3, 41, 109. Prime factorization of 40221 in exponential form is:

40221 = 3² × 41¹ × 109¹

Step-3: Factors of 40208

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

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

Step-4: Factors of 40221

List of positive integer factors of 40221 that divides 40208 without a remainder.

1, 3, 9, 41, 109, 123, 327, 369, 981, 4469, 13407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40208 and 40221. The biggest common factor number is the GCF number.
So the greatest common factor 40208 and 40221 is 1.

Also check out the Least Common Multiple of 40208 and 40221