What is the Greatest Common Factor of 40208 and 40217?

Greatest common factor (GCF) of 40208 and 40217 is 1.

GCF(40208,40217) = 1

We will now calculate the prime factors of 40208 and 40217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40208 and 40217.

How to find the GCF of 40208 and 40217?

We will first find the prime factorization of 40208 and 40217. After we will calculate the factors of 40208 and 40217 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 40217

Prime factors of 40217 are 131, 307. Prime factorization of 40217 in exponential form is:

40217 = 131¹ × 307¹

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 40217

List of positive integer factors of 40217 that divides 40208 without a remainder.

1, 131, 307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40208 and 40217. The biggest common factor number is the GCF number.
So the greatest common factor 40208 and 40217 is 1.

Also check out the Least Common Multiple of 40208 and 40217