What is the Greatest Common Factor of 12416 and 12431?

Greatest common factor (GCF) of 12416 and 12431 is 1.

GCF(12416,12431) = 1

We will now calculate the prime factors of 12416 and 12431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12416 and 12431.

How to find the GCF of 12416 and 12431?

We will first find the prime factorization of 12416 and 12431. After we will calculate the factors of 12416 and 12431 and find the biggest common factor number .

Step-1: Prime Factorization of 12416

Prime factors of 12416 are 2, 97. Prime factorization of 12416 in exponential form is:

12416 = 2⁷ × 97¹

Step-2: Prime Factorization of 12431

Prime factors of 12431 are 31, 401. Prime factorization of 12431 in exponential form is:

12431 = 31¹ × 401¹

Step-3: Factors of 12416

List of positive integer factors of 12416 that divides 12416 without a remainder.

1, 2, 4, 8, 16, 32, 64, 97, 128, 194, 388, 776, 1552, 3104, 6208

Step-4: Factors of 12431

List of positive integer factors of 12431 that divides 12416 without a remainder.

1, 31, 401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12416 and 12431. The biggest common factor number is the GCF number.
So the greatest common factor 12416 and 12431 is 1.

Also check out the Least Common Multiple of 12416 and 12431