What is the Greatest Common Factor of 26125 and 26134?

Greatest common factor (GCF) of 26125 and 26134 is 1.

GCF(26125,26134) = 1

We will now calculate the prime factors of 26125 and 26134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26125 and 26134.

How to find the GCF of 26125 and 26134?

We will first find the prime factorization of 26125 and 26134. After we will calculate the factors of 26125 and 26134 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 26134

Prime factors of 26134 are 2, 73, 179. Prime factorization of 26134 in exponential form is:

26134 = 2¹ × 73¹ × 179¹

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 26134

List of positive integer factors of 26134 that divides 26125 without a remainder.

1, 2, 73, 146, 179, 358, 13067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26125 and 26134. The biggest common factor number is the GCF number.
So the greatest common factor 26125 and 26134 is 1.

Also check out the Least Common Multiple of 26125 and 26134