What is the Greatest Common Factor of 42413 and 42429?

Greatest common factor (GCF) of 42413 and 42429 is 1.

GCF(42413,42429) = 1

We will now calculate the prime factors of 42413 and 42429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42413 and 42429.

How to find the GCF of 42413 and 42429?

We will first find the prime factorization of 42413 and 42429. After we will calculate the factors of 42413 and 42429 and find the biggest common factor number .

Step-1: Prime Factorization of 42413

Prime factors of 42413 are 7, 73, 83. Prime factorization of 42413 in exponential form is:

42413 = 7¹ × 73¹ × 83¹

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 42413

List of positive integer factors of 42413 that divides 42413 without a remainder.

1, 7, 73, 83, 511, 581, 6059

Step-4: Factors of 42429

List of positive integer factors of 42429 that divides 42413 without a remainder.

1, 3, 14143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42413 and 42429. The biggest common factor number is the GCF number.
So the greatest common factor 42413 and 42429 is 1.

Also check out the Least Common Multiple of 42413 and 42429