What is the Greatest Common Factor of 40302 and 40308?

Greatest common factor (GCF) of 40302 and 40308 is 6.

GCF(40302,40308) = 6

We will now calculate the prime factors of 40302 and 40308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40302 and 40308.

How to find the GCF of 40302 and 40308?

We will first find the prime factorization of 40302 and 40308. After we will calculate the factors of 40302 and 40308 and find the biggest common factor number .

Step-1: Prime Factorization of 40302

Prime factors of 40302 are 2, 3, 2239. Prime factorization of 40302 in exponential form is:

40302 = 2¹ × 3² × 2239¹

Step-2: Prime Factorization of 40308

Prime factors of 40308 are 2, 3, 3359. Prime factorization of 40308 in exponential form is:

40308 = 2² × 3¹ × 3359¹

Step-3: Factors of 40302

List of positive integer factors of 40302 that divides 40302 without a remainder.

1, 2, 3, 6, 9, 18, 2239, 4478, 6717, 13434, 20151

Step-4: Factors of 40308

List of positive integer factors of 40308 that divides 40302 without a remainder.

1, 2, 3, 4, 6, 12, 3359, 6718, 10077, 13436, 20154

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40302 and 40308. The biggest common factor number is the GCF number.
So the greatest common factor 40302 and 40308 is 6.

Also check out the Least Common Multiple of 40302 and 40308