What is the Greatest Common Factor of 26144 and 26163?

Greatest common factor (GCF) of 26144 and 26163 is 19.

GCF(26144,26163) = 19

We will now calculate the prime factors of 26144 and 26163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26144 and 26163.

How to find the GCF of 26144 and 26163?

We will first find the prime factorization of 26144 and 26163. After we will calculate the factors of 26144 and 26163 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26163

Prime factors of 26163 are 3, 17, 19. Prime factorization of 26163 in exponential form is:

26163 = 3⁴ × 17¹ × 19¹

Step-3: Factors of 26144

List of positive integer factors of 26144 that divides 26144 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

Step-4: Factors of 26163

List of positive integer factors of 26163 that divides 26144 without a remainder.

1, 3, 9, 17, 19, 27, 51, 57, 81, 153, 171, 323, 459, 513, 969, 1377, 1539, 2907, 8721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26144 and 26163. The biggest common factor number is the GCF number.
So the greatest common factor 26144 and 26163 is 19.

Also check out the Least Common Multiple of 26144 and 26163