What is the Greatest Common Factor of 26035 and 26055?

Greatest common factor (GCF) of 26035 and 26055 is 5.

GCF(26035,26055) = 5

We will now calculate the prime factors of 26035 and 26055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26035 and 26055.

How to find the GCF of 26035 and 26055?

We will first find the prime factorization of 26035 and 26055. After we will calculate the factors of 26035 and 26055 and find the biggest common factor number .

Step-1: Prime Factorization of 26035

Prime factors of 26035 are 5, 41, 127. Prime factorization of 26035 in exponential form is:

26035 = 5¹ × 41¹ × 127¹

Step-2: Prime Factorization of 26055

Prime factors of 26055 are 3, 5, 193. Prime factorization of 26055 in exponential form is:

26055 = 3³ × 5¹ × 193¹

Step-3: Factors of 26035

List of positive integer factors of 26035 that divides 26035 without a remainder.

1, 5, 41, 127, 205, 635, 5207

Step-4: Factors of 26055

List of positive integer factors of 26055 that divides 26035 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 193, 579, 965, 1737, 2895, 5211, 8685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26035 and 26055. The biggest common factor number is the GCF number.
So the greatest common factor 26035 and 26055 is 5.

Also check out the Least Common Multiple of 26035 and 26055