What is the Greatest Common Factor of 40413 and 40419?

Greatest common factor (GCF) of 40413 and 40419 is 3.

GCF(40413,40419) = 3

We will now calculate the prime factors of 40413 and 40419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40413 and 40419.

How to find the GCF of 40413 and 40419?

We will first find the prime factorization of 40413 and 40419. After we will calculate the factors of 40413 and 40419 and find the biggest common factor number .

Step-1: Prime Factorization of 40413

Prime factors of 40413 are 3, 19, 709. Prime factorization of 40413 in exponential form is:

40413 = 3¹ × 19¹ × 709¹

Step-2: Prime Factorization of 40419

Prime factors of 40419 are 3, 499. Prime factorization of 40419 in exponential form is:

40419 = 3⁴ × 499¹

Step-3: Factors of 40413

List of positive integer factors of 40413 that divides 40413 without a remainder.

1, 3, 19, 57, 709, 2127, 13471

Step-4: Factors of 40419

List of positive integer factors of 40419 that divides 40413 without a remainder.

1, 3, 9, 27, 81, 499, 1497, 4491, 13473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40413 and 40419. The biggest common factor number is the GCF number.
So the greatest common factor 40413 and 40419 is 3.

Also check out the Least Common Multiple of 40413 and 40419