What is the Greatest Common Factor of 40306 and 40312?

Greatest common factor (GCF) of 40306 and 40312 is 2.

GCF(40306,40312) = 2

We will now calculate the prime factors of 40306 and 40312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40306 and 40312.

How to find the GCF of 40306 and 40312?

We will first find the prime factorization of 40306 and 40312. After we will calculate the factors of 40306 and 40312 and find the biggest common factor number .

Step-1: Prime Factorization of 40306

Prime factors of 40306 are 2, 7, 2879. Prime factorization of 40306 in exponential form is:

40306 = 2¹ × 7¹ × 2879¹

Step-2: Prime Factorization of 40312

Prime factors of 40312 are 2, 5039. Prime factorization of 40312 in exponential form is:

40312 = 2³ × 5039¹

Step-3: Factors of 40306

List of positive integer factors of 40306 that divides 40306 without a remainder.

1, 2, 7, 14, 2879, 5758, 20153

Step-4: Factors of 40312

List of positive integer factors of 40312 that divides 40306 without a remainder.

1, 2, 4, 8, 5039, 10078, 20156

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40306 and 40312. The biggest common factor number is the GCF number.
So the greatest common factor 40306 and 40312 is 2.

Also check out the Least Common Multiple of 40306 and 40312