What is the Greatest Common Factor of 12896 and 12907?

Greatest common factor (GCF) of 12896 and 12907 is 1.

GCF(12896,12907) = 1

We will now calculate the prime factors of 12896 and 12907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12896 and 12907.

How to find the GCF of 12896 and 12907?

We will first find the prime factorization of 12896 and 12907. After we will calculate the factors of 12896 and 12907 and find the biggest common factor number .

Step-1: Prime Factorization of 12896

Prime factors of 12896 are 2, 13, 31. Prime factorization of 12896 in exponential form is:

12896 = 2⁵ × 13¹ × 31¹

Step-2: Prime Factorization of 12907

Prime factors of 12907 are 12907. Prime factorization of 12907 in exponential form is:

12907 = 12907¹

Step-3: Factors of 12896

List of positive integer factors of 12896 that divides 12896 without a remainder.

1, 2, 4, 8, 13, 16, 26, 31, 32, 52, 62, 104, 124, 208, 248, 403, 416, 496, 806, 992, 1612, 3224, 6448

Step-4: Factors of 12907

List of positive integer factors of 12907 that divides 12896 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12896 and 12907. The biggest common factor number is the GCF number.
So the greatest common factor 12896 and 12907 is 1.

Also check out the Least Common Multiple of 12896 and 12907