What is the Greatest Common Factor of 40208 and 40225?

Greatest common factor (GCF) of 40208 and 40225 is 1.

GCF(40208,40225) = 1

We will now calculate the prime factors of 40208 and 40225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40208 and 40225.

How to find the GCF of 40208 and 40225?

We will first find the prime factorization of 40208 and 40225. After we will calculate the factors of 40208 and 40225 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 40225

Prime factors of 40225 are 5, 1609. Prime factorization of 40225 in exponential form is:

40225 = 5² × 1609¹

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 40225

List of positive integer factors of 40225 that divides 40208 without a remainder.

1, 5, 25, 1609, 8045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40208 and 40225. The biggest common factor number is the GCF number.
So the greatest common factor 40208 and 40225 is 1.

Also check out the Least Common Multiple of 40208 and 40225