What is the Greatest Common Factor of 40335 and 40341?

Greatest common factor (GCF) of 40335 and 40341 is 3.

GCF(40335,40341) = 3

We will now calculate the prime factors of 40335 and 40341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40335 and 40341.

How to find the GCF of 40335 and 40341?

We will first find the prime factorization of 40335 and 40341. After we will calculate the factors of 40335 and 40341 and find the biggest common factor number .

Step-1: Prime Factorization of 40335

Prime factors of 40335 are 3, 5, 2689. Prime factorization of 40335 in exponential form is:

40335 = 3¹ × 5¹ × 2689¹

Step-2: Prime Factorization of 40341

Prime factors of 40341 are 3, 7, 17, 113. Prime factorization of 40341 in exponential form is:

40341 = 3¹ × 7¹ × 17¹ × 113¹

Step-3: Factors of 40335

List of positive integer factors of 40335 that divides 40335 without a remainder.

1, 3, 5, 15, 2689, 8067, 13445

Step-4: Factors of 40341

List of positive integer factors of 40341 that divides 40335 without a remainder.

1, 3, 7, 17, 21, 51, 113, 119, 339, 357, 791, 1921, 2373, 5763, 13447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40335 and 40341. The biggest common factor number is the GCF number.
So the greatest common factor 40335 and 40341 is 3.

Also check out the Least Common Multiple of 40335 and 40341