What is the Greatest Common Factor of 26235 and 26253?

Greatest common factor (GCF) of 26235 and 26253 is 9.

GCF(26235,26253) = 9

We will now calculate the prime factors of 26235 and 26253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26235 and 26253.

How to find the GCF of 26235 and 26253?

We will first find the prime factorization of 26235 and 26253. After we will calculate the factors of 26235 and 26253 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 26253

Prime factors of 26253 are 3, 2917. Prime factorization of 26253 in exponential form is:

26253 = 3² × 2917¹

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 26253

List of positive integer factors of 26253 that divides 26235 without a remainder.

1, 3, 9, 2917, 8751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26235 and 26253. The biggest common factor number is the GCF number.
So the greatest common factor 26235 and 26253 is 9.

Also check out the Least Common Multiple of 26235 and 26253