What is the Greatest Common Factor of 32414 and 32429?

Greatest common factor (GCF) of 32414 and 32429 is 1.

GCF(32414,32429) = 1

We will now calculate the prime factors of 32414 and 32429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32414 and 32429.

How to find the GCF of 32414 and 32429?

We will first find the prime factorization of 32414 and 32429. After we will calculate the factors of 32414 and 32429 and find the biggest common factor number .

Step-1: Prime Factorization of 32414

Prime factors of 32414 are 2, 19, 853. Prime factorization of 32414 in exponential form is:

32414 = 2¹ × 19¹ × 853¹

Step-2: Prime Factorization of 32429

Prime factors of 32429 are 32429. Prime factorization of 32429 in exponential form is:

32429 = 32429¹

Step-3: Factors of 32414

List of positive integer factors of 32414 that divides 32414 without a remainder.

1, 2, 19, 38, 853, 1706, 16207

Step-4: Factors of 32429

List of positive integer factors of 32429 that divides 32414 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32414 and 32429. The biggest common factor number is the GCF number.
So the greatest common factor 32414 and 32429 is 1.

Also check out the Least Common Multiple of 32414 and 32429