What is the Greatest Common Factor of 26128 and 26144?

Greatest common factor (GCF) of 26128 and 26144 is 16.

GCF(26128,26144) = 16

We will now calculate the prime factors of 26128 and 26144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26128 and 26144.

How to find the GCF of 26128 and 26144?

We will first find the prime factorization of 26128 and 26144. After we will calculate the factors of 26128 and 26144 and find the biggest common factor number .

Step-1: Prime Factorization of 26128

Prime factors of 26128 are 2, 23, 71. Prime factorization of 26128 in exponential form is:

26128 = 2⁴ × 23¹ × 71¹

Step-2: Prime Factorization of 26144

Prime factors of 26144 are 2, 19, 43. Prime factorization of 26144 in exponential form is:

26144 = 2⁵ × 19¹ × 43¹

Step-3: Factors of 26128

List of positive integer factors of 26128 that divides 26128 without a remainder.

1, 2, 4, 8, 16, 23, 46, 71, 92, 142, 184, 284, 368, 568, 1136, 1633, 3266, 6532, 13064

Step-4: Factors of 26144

List of positive integer factors of 26144 that divides 26128 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 43, 76, 86, 152, 172, 304, 344, 608, 688, 817, 1376, 1634, 3268, 6536, 13072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26128 and 26144. The biggest common factor number is the GCF number.
So the greatest common factor 26128 and 26144 is 16.

Also check out the Least Common Multiple of 26128 and 26144