What is the Greatest Common Factor of 12416 and 12434?

Greatest common factor (GCF) of 12416 and 12434 is 2.

GCF(12416,12434) = 2

We will now calculate the prime factors of 12416 and 12434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12416 and 12434.

How to find the GCF of 12416 and 12434?

We will first find the prime factorization of 12416 and 12434. After we will calculate the factors of 12416 and 12434 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 12434

Prime factors of 12434 are 2, 6217. Prime factorization of 12434 in exponential form is:

12434 = 2¹ × 6217¹

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 12434

List of positive integer factors of 12434 that divides 12416 without a remainder.

1, 2, 6217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12416 and 12434. The biggest common factor number is the GCF number.
So the greatest common factor 12416 and 12434 is 2.

Also check out the Least Common Multiple of 12416 and 12434