What is the Greatest Common Factor of 40310 and 40314?

Greatest common factor (GCF) of 40310 and 40314 is 2.

GCF(40310,40314) = 2

We will now calculate the prime factors of 40310 and 40314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40310 and 40314.

How to find the GCF of 40310 and 40314?

We will first find the prime factorization of 40310 and 40314. After we will calculate the factors of 40310 and 40314 and find the biggest common factor number .

Step-1: Prime Factorization of 40310

Prime factors of 40310 are 2, 5, 29, 139. Prime factorization of 40310 in exponential form is:

40310 = 2¹ × 5¹ × 29¹ × 139¹

Step-2: Prime Factorization of 40314

Prime factors of 40314 are 2, 3, 6719. Prime factorization of 40314 in exponential form is:

40314 = 2¹ × 3¹ × 6719¹

Step-3: Factors of 40310

List of positive integer factors of 40310 that divides 40310 without a remainder.

1, 2, 5, 10, 29, 58, 139, 145, 278, 290, 695, 1390, 4031, 8062, 20155

Step-4: Factors of 40314

List of positive integer factors of 40314 that divides 40310 without a remainder.

1, 2, 3, 6, 6719, 13438, 20157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40310 and 40314. The biggest common factor number is the GCF number.
So the greatest common factor 40310 and 40314 is 2.

Also check out the Least Common Multiple of 40310 and 40314