What is the Greatest Common Factor of 26235 and 26255?

Greatest common factor (GCF) of 26235 and 26255 is 5.

GCF(26235,26255) = 5

We will now calculate the prime factors of 26235 and 26255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26235 and 26255.

How to find the GCF of 26235 and 26255?

We will first find the prime factorization of 26235 and 26255. After we will calculate the factors of 26235 and 26255 and find the biggest common factor number .

Step-1: Prime Factorization of 26235

Prime factors of 26235 are 3, 5, 11, 53. Prime factorization of 26235 in exponential form is:

26235 = 3² × 5¹ × 11¹ × 53¹

Step-2: Prime Factorization of 26255

Prime factors of 26255 are 5, 59, 89. Prime factorization of 26255 in exponential form is:

26255 = 5¹ × 59¹ × 89¹

Step-3: Factors of 26235

List of positive integer factors of 26235 that divides 26235 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 53, 55, 99, 159, 165, 265, 477, 495, 583, 795, 1749, 2385, 2915, 5247, 8745

Step-4: Factors of 26255

List of positive integer factors of 26255 that divides 26235 without a remainder.

1, 5, 59, 89, 295, 445, 5251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26235 and 26255. The biggest common factor number is the GCF number.
So the greatest common factor 26235 and 26255 is 5.

Also check out the Least Common Multiple of 26235 and 26255