What is the Greatest Common Factor of 40419 and 40431?

Greatest common factor (GCF) of 40419 and 40431 is 3.

GCF(40419,40431) = 3

We will now calculate the prime factors of 40419 and 40431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40419 and 40431.

How to find the GCF of 40419 and 40431?

We will first find the prime factorization of 40419 and 40431. After we will calculate the factors of 40419 and 40431 and find the biggest common factor number .

Step-1: Prime Factorization of 40419

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

40419 = 3⁴ × 499¹

Step-2: Prime Factorization of 40431

Prime factors of 40431 are 3, 13477. Prime factorization of 40431 in exponential form is:

40431 = 3¹ × 13477¹

Step-3: Factors of 40419

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

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

Step-4: Factors of 40431

List of positive integer factors of 40431 that divides 40419 without a remainder.

1, 3, 13477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40419 and 40431. The biggest common factor number is the GCF number.
So the greatest common factor 40419 and 40431 is 3.

Also check out the Least Common Multiple of 40419 and 40431