What is the Greatest Common Factor of 12896 and 12901?

Greatest common factor (GCF) of 12896 and 12901 is 1.

GCF(12896,12901) = 1

We will now calculate the prime factors of 12896 and 12901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12896 and 12901.

How to find the GCF of 12896 and 12901?

We will first find the prime factorization of 12896 and 12901. After we will calculate the factors of 12896 and 12901 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 12901

Prime factors of 12901 are 7, 19, 97. Prime factorization of 12901 in exponential form is:

12901 = 7¹ × 19¹ × 97¹

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 12901

List of positive integer factors of 12901 that divides 12896 without a remainder.

1, 7, 19, 97, 133, 679, 1843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12896 and 12901. The biggest common factor number is the GCF number.
So the greatest common factor 12896 and 12901 is 1.

Also check out the Least Common Multiple of 12896 and 12901