What is the Greatest Common Factor of 8416 and 8429?

Greatest common factor (GCF) of 8416 and 8429 is 1.

GCF(8416,8429) = 1

We will now calculate the prime factors of 8416 and 8429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8416 and 8429.

How to find the GCF of 8416 and 8429?

We will first find the prime factorization of 8416 and 8429. After we will calculate the factors of 8416 and 8429 and find the biggest common factor number .

Step-1: Prime Factorization of 8416

Prime factors of 8416 are 2, 263. Prime factorization of 8416 in exponential form is:

8416 = 2⁵ × 263¹

Step-2: Prime Factorization of 8429

Prime factors of 8429 are 8429. Prime factorization of 8429 in exponential form is:

8429 = 8429¹

Step-3: Factors of 8416

List of positive integer factors of 8416 that divides 8416 without a remainder.

1, 2, 4, 8, 16, 32, 263, 526, 1052, 2104, 4208

Step-4: Factors of 8429

List of positive integer factors of 8429 that divides 8416 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8416 and 8429. The biggest common factor number is the GCF number.
So the greatest common factor 8416 and 8429 is 1.

Also check out the Least Common Multiple of 8416 and 8429