What is the Greatest Common Factor of 83408 and 83423?

Greatest common factor (GCF) of 83408 and 83423 is 1.

GCF(83408,83423) = 1

We will now calculate the prime factors of 83408 and 83423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83408 and 83423.

How to find the GCF of 83408 and 83423?

We will first find the prime factorization of 83408 and 83423. After we will calculate the factors of 83408 and 83423 and find the biggest common factor number .

Step-1: Prime Factorization of 83408

Prime factors of 83408 are 2, 13, 401. Prime factorization of 83408 in exponential form is:

83408 = 2⁴ × 13¹ × 401¹

Step-2: Prime Factorization of 83423

Prime factors of 83423 are 83423. Prime factorization of 83423 in exponential form is:

83423 = 83423¹

Step-3: Factors of 83408

List of positive integer factors of 83408 that divides 83408 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 401, 802, 1604, 3208, 5213, 6416, 10426, 20852, 41704

Step-4: Factors of 83423

List of positive integer factors of 83423 that divides 83408 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83408 and 83423. The biggest common factor number is the GCF number.
So the greatest common factor 83408 and 83423 is 1.

Also check out the Least Common Multiple of 83408 and 83423