What is the Greatest Common Factor of 26905 and 26912?

Greatest common factor (GCF) of 26905 and 26912 is 1.

GCF(26905,26912) = 1

We will now calculate the prime factors of 26905 and 26912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26905 and 26912.

How to find the GCF of 26905 and 26912?

We will first find the prime factorization of 26905 and 26912. After we will calculate the factors of 26905 and 26912 and find the biggest common factor number .

Step-1: Prime Factorization of 26905

Prime factors of 26905 are 5, 5381. Prime factorization of 26905 in exponential form is:

26905 = 5¹ × 5381¹

Step-2: Prime Factorization of 26912

Prime factors of 26912 are 2, 29. Prime factorization of 26912 in exponential form is:

26912 = 2⁵ × 29²

Step-3: Factors of 26905

List of positive integer factors of 26905 that divides 26905 without a remainder.

1, 5, 5381

Step-4: Factors of 26912

List of positive integer factors of 26912 that divides 26905 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 841, 928, 1682, 3364, 6728, 13456

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26905 and 26912. The biggest common factor number is the GCF number.
So the greatest common factor 26905 and 26912 is 1.

Also check out the Least Common Multiple of 26905 and 26912