What is the Greatest Common Factor of 419 and 429?

Greatest common factor (GCF) of 419 and 429 is 1.

GCF(419,429) = 1

We will now calculate the prime factors of 419 and 429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 419 and 429.

How to find the GCF of 419 and 429?

We will first find the prime factorization of 419 and 429. After we will calculate the factors of 419 and 429 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 429

Prime factors of 429 are 3, 11, 13. Prime factorization of 429 in exponential form is:

429 = 3¹ × 11¹ × 13¹

Step-3: Factors of 419

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

Step-4: Factors of 429

List of positive integer factors of 429 that divides 419 without a remainder.

1, 3, 11, 13, 33, 39, 143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 419 and 429. The biggest common factor number is the GCF number.
So the greatest common factor 419 and 429 is 1.

Also check out the Least Common Multiple of 419 and 429