What is the Greatest Common Factor of 419 and 438?

Greatest common factor (GCF) of 419 and 438 is 1.

GCF(419,438) = 1

We will now calculate the prime factors of 419 and 438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 419 and 438.

How to find the GCF of 419 and 438?

We will first find the prime factorization of 419 and 438. After we will calculate the factors of 419 and 438 and find the biggest common factor number .

Step-1: Prime Factorization of 419

Prime factors of 419 are 419. Prime factorization of 419 in exponential form is:

419 = 419¹

Step-2: Prime Factorization of 438

Prime factors of 438 are 2, 3, 73. Prime factorization of 438 in exponential form is:

438 = 2¹ × 3¹ × 73¹

Step-3: Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

Step-4: Factors of 438

List of positive integer factors of 438 that divides 419 without a remainder.

1, 2, 3, 6, 73, 146, 219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 419 and 438. The biggest common factor number is the GCF number.
So the greatest common factor 419 and 438 is 1.

Also check out the Least Common Multiple of 419 and 438