What is the Greatest Common Factor of 13414 and 13429?

Greatest common factor (GCF) of 13414 and 13429 is 1.

GCF(13414,13429) = 1

We will now calculate the prime factors of 13414 and 13429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13414 and 13429.

How to find the GCF of 13414 and 13429?

We will first find the prime factorization of 13414 and 13429. After we will calculate the factors of 13414 and 13429 and find the biggest common factor number .

Step-1: Prime Factorization of 13414

Prime factors of 13414 are 2, 19, 353. Prime factorization of 13414 in exponential form is:

13414 = 2¹ × 19¹ × 353¹

Step-2: Prime Factorization of 13429

Prime factors of 13429 are 13, 1033. Prime factorization of 13429 in exponential form is:

13429 = 13¹ × 1033¹

Step-3: Factors of 13414

List of positive integer factors of 13414 that divides 13414 without a remainder.

1, 2, 19, 38, 353, 706, 6707

Step-4: Factors of 13429

List of positive integer factors of 13429 that divides 13414 without a remainder.

1, 13, 1033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13414 and 13429. The biggest common factor number is the GCF number.
So the greatest common factor 13414 and 13429 is 1.

Also check out the Least Common Multiple of 13414 and 13429