What is the Greatest Common Factor of 26129 and 26144?

Greatest common factor (GCF) of 26129 and 26144 is 1.

GCF(26129,26144) = 1

We will now calculate the prime factors of 26129 and 26144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26129 and 26144.

How to find the GCF of 26129 and 26144?

We will first find the prime factorization of 26129 and 26144. After we will calculate the factors of 26129 and 26144 and find the biggest common factor number .

Step-1: Prime Factorization of 26129

Prime factors of 26129 are 17, 29, 53. Prime factorization of 26129 in exponential form is:

26129 = 17¹ × 29¹ × 53¹

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 26129

List of positive integer factors of 26129 that divides 26129 without a remainder.

1, 17, 29, 53, 493, 901, 1537

Step-4: Factors of 26144

List of positive integer factors of 26144 that divides 26129 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 26129 and 26144. The biggest common factor number is the GCF number.
So the greatest common factor 26129 and 26144 is 1.

Also check out the Least Common Multiple of 26129 and 26144