What is the Greatest Common Factor of 26125 and 26143?

Greatest common factor (GCF) of 26125 and 26143 is 1.

GCF(26125,26143) = 1

We will now calculate the prime factors of 26125 and 26143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26125 and 26143.

How to find the GCF of 26125 and 26143?

We will first find the prime factorization of 26125 and 26143. After we will calculate the factors of 26125 and 26143 and find the biggest common factor number .

Step-1: Prime Factorization of 26125

Prime factors of 26125 are 5, 11, 19. Prime factorization of 26125 in exponential form is:

26125 = 5³ × 11¹ × 19¹

Step-2: Prime Factorization of 26143

Prime factors of 26143 are 13, 2011. Prime factorization of 26143 in exponential form is:

26143 = 13¹ × 2011¹

Step-3: Factors of 26125

List of positive integer factors of 26125 that divides 26125 without a remainder.

1, 5, 11, 19, 25, 55, 95, 125, 209, 275, 475, 1045, 1375, 2375, 5225

Step-4: Factors of 26143

List of positive integer factors of 26143 that divides 26125 without a remainder.

1, 13, 2011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26125 and 26143. The biggest common factor number is the GCF number.
So the greatest common factor 26125 and 26143 is 1.

Also check out the Least Common Multiple of 26125 and 26143