What is the Greatest Common Factor of 40208 and 40222?

Greatest common factor (GCF) of 40208 and 40222 is 14.

GCF(40208,40222) = 14

We will now calculate the prime factors of 40208 and 40222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40208 and 40222.

How to find the GCF of 40208 and 40222?

We will first find the prime factorization of 40208 and 40222. After we will calculate the factors of 40208 and 40222 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 40222

Prime factors of 40222 are 2, 7, 13, 17. Prime factorization of 40222 in exponential form is:

40222 = 2¹ × 7¹ × 13² × 17¹

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 40222

List of positive integer factors of 40222 that divides 40208 without a remainder.

1, 2, 7, 13, 14, 17, 26, 34, 91, 119, 169, 182, 221, 238, 338, 442, 1183, 1547, 2366, 2873, 3094, 5746, 20111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40208 and 40222. The biggest common factor number is the GCF number.
So the greatest common factor 40208 and 40222 is 14.

Also check out the Least Common Multiple of 40208 and 40222