What is the Greatest Common Factor of 40321 and 40338?

Greatest common factor (GCF) of 40321 and 40338 is 1.

GCF(40321,40338) = 1

We will now calculate the prime factors of 40321 and 40338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40321 and 40338.

How to find the GCF of 40321 and 40338?

We will first find the prime factorization of 40321 and 40338. After we will calculate the factors of 40321 and 40338 and find the biggest common factor number .

Step-1: Prime Factorization of 40321

Prime factors of 40321 are 61, 661. Prime factorization of 40321 in exponential form is:

40321 = 61¹ × 661¹

Step-2: 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-3: Factors of 40321

List of positive integer factors of 40321 that divides 40321 without a remainder.

1, 61, 661

Step-4: Factors of 40338

List of positive integer factors of 40338 that divides 40321 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40321 and 40338. The biggest common factor number is the GCF number.
So the greatest common factor 40321 and 40338 is 1.

Also check out the Least Common Multiple of 40321 and 40338