What is the Greatest Common Factor of 12892 and 12896?

Greatest common factor (GCF) of 12892 and 12896 is 4.

GCF(12892,12896) = 4

We will now calculate the prime factors of 12892 and 12896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12892 and 12896.

How to find the GCF of 12892 and 12896?

We will first find the prime factorization of 12892 and 12896. After we will calculate the factors of 12892 and 12896 and find the biggest common factor number .

Step-1: Prime Factorization of 12892

Prime factors of 12892 are 2, 11, 293. Prime factorization of 12892 in exponential form is:

12892 = 2² × 11¹ × 293¹

Step-2: 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-3: Factors of 12892

List of positive integer factors of 12892 that divides 12892 without a remainder.

1, 2, 4, 11, 22, 44, 293, 586, 1172, 3223, 6446

Step-4: Factors of 12896

List of positive integer factors of 12896 that divides 12892 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12892 and 12896. The biggest common factor number is the GCF number.
So the greatest common factor 12892 and 12896 is 4.

Also check out the Least Common Multiple of 12892 and 12896