What is the Greatest Common Factor of 40401 and 40419?

Greatest common factor (GCF) of 40401 and 40419 is 9.

GCF(40401,40419) = 9

We will now calculate the prime factors of 40401 and 40419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40401 and 40419.

How to find the GCF of 40401 and 40419?

We will first find the prime factorization of 40401 and 40419. After we will calculate the factors of 40401 and 40419 and find the biggest common factor number .

Step-1: Prime Factorization of 40401

Prime factors of 40401 are 3, 67. Prime factorization of 40401 in exponential form is:

40401 = 3² × 67²

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 40401

List of positive integer factors of 40401 that divides 40401 without a remainder.

1, 3, 9, 67, 201, 603, 4489, 13467

Step-4: Factors of 40419

List of positive integer factors of 40419 that divides 40401 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 40401 and 40419. The biggest common factor number is the GCF number.
So the greatest common factor 40401 and 40419 is 9.

Also check out the Least Common Multiple of 40401 and 40419