What is the Greatest Common Factor of 42419 and 42429?

Greatest common factor (GCF) of 42419 and 42429 is 1.

GCF(42419,42429) = 1

We will now calculate the prime factors of 42419 and 42429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42419 and 42429.

How to find the GCF of 42419 and 42429?

We will first find the prime factorization of 42419 and 42429. After we will calculate the factors of 42419 and 42429 and find the biggest common factor number .

Step-1: Prime Factorization of 42419

Prime factors of 42419 are 13, 251. Prime factorization of 42419 in exponential form is:

42419 = 13² × 251¹

Step-2: Prime Factorization of 42429

Prime factors of 42429 are 3, 14143. Prime factorization of 42429 in exponential form is:

42429 = 3¹ × 14143¹

Step-3: Factors of 42419

List of positive integer factors of 42419 that divides 42419 without a remainder.

1, 13, 169, 251, 3263

Step-4: Factors of 42429

List of positive integer factors of 42429 that divides 42419 without a remainder.

1, 3, 14143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42419 and 42429. The biggest common factor number is the GCF number.
So the greatest common factor 42419 and 42429 is 1.

Also check out the Least Common Multiple of 42419 and 42429