What is the Greatest Common Factor of 40338 and 40354?

Greatest common factor (GCF) of 40338 and 40354 is 2.

GCF(40338,40354) = 2

We will now calculate the prime factors of 40338 and 40354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40338 and 40354.

How to find the GCF of 40338 and 40354?

We will first find the prime factorization of 40338 and 40354. After we will calculate the factors of 40338 and 40354 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 40354

Prime factors of 40354 are 2, 20177. Prime factorization of 40354 in exponential form is:

40354 = 2¹ × 20177¹

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 40354

List of positive integer factors of 40354 that divides 40338 without a remainder.

1, 2, 20177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40338 and 40354. The biggest common factor number is the GCF number.
So the greatest common factor 40338 and 40354 is 2.

Also check out the Least Common Multiple of 40338 and 40354