What is the Greatest Common Factor of 40338 and 40358?

Greatest common factor (GCF) of 40338 and 40358 is 2.

GCF(40338,40358) = 2

We will now calculate the prime factors of 40338 and 40358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40338 and 40358.

How to find the GCF of 40338 and 40358?

We will first find the prime factorization of 40338 and 40358. After we will calculate the factors of 40338 and 40358 and find the biggest common factor number .

Step-1: Prime Factorization of 40338

Prime factors of 40338 are 2, 3, 83. Prime factorization of 40338 in exponential form is:

40338 = 2¹ × 3⁵ × 83¹

Step-2: Prime Factorization of 40358

Prime factors of 40358 are 2, 17, 1187. Prime factorization of 40358 in exponential form is:

40358 = 2¹ × 17¹ × 1187¹

Step-3: Factors of 40338

List of positive integer factors of 40338 that divides 40338 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 83, 162, 166, 243, 249, 486, 498, 747, 1494, 2241, 4482, 6723, 13446, 20169

Step-4: Factors of 40358

List of positive integer factors of 40358 that divides 40338 without a remainder.

1, 2, 17, 34, 1187, 2374, 20179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40338 and 40358. The biggest common factor number is the GCF number.
So the greatest common factor 40338 and 40358 is 2.

Also check out the Least Common Multiple of 40338 and 40358