What is the Greatest Common Factor of 8408 and 8416?

Greatest common factor (GCF) of 8408 and 8416 is 8.

GCF(8408,8416) = 8

We will now calculate the prime factors of 8408 and 8416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8408 and 8416.

How to find the GCF of 8408 and 8416?

We will first find the prime factorization of 8408 and 8416. After we will calculate the factors of 8408 and 8416 and find the biggest common factor number .

Step-1: Prime Factorization of 8408

Prime factors of 8408 are 2, 1051. Prime factorization of 8408 in exponential form is:

8408 = 2³ × 1051¹

Step-2: Prime Factorization of 8416

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

8416 = 2⁵ × 263¹

Step-3: Factors of 8408

List of positive integer factors of 8408 that divides 8408 without a remainder.

1, 2, 4, 8, 1051, 2102, 4204

Step-4: Factors of 8416

List of positive integer factors of 8416 that divides 8408 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8408 and 8416. The biggest common factor number is the GCF number.
So the greatest common factor 8408 and 8416 is 8.

Also check out the Least Common Multiple of 8408 and 8416