What is the Greatest Common Factor of 40302 and 40317?

Greatest common factor (GCF) of 40302 and 40317 is 3.

GCF(40302,40317) = 3

We will now calculate the prime factors of 40302 and 40317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40302 and 40317.

How to find the GCF of 40302 and 40317?

We will first find the prime factorization of 40302 and 40317. After we will calculate the factors of 40302 and 40317 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 40317

Prime factors of 40317 are 3, 89, 151. Prime factorization of 40317 in exponential form is:

40317 = 3¹ × 89¹ × 151¹

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 40317

List of positive integer factors of 40317 that divides 40302 without a remainder.

1, 3, 89, 151, 267, 453, 13439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40302 and 40317. The biggest common factor number is the GCF number.
So the greatest common factor 40302 and 40317 is 3.

Also check out the Least Common Multiple of 40302 and 40317