What is the Greatest Common Factor of 26225 and 26235?

Greatest common factor (GCF) of 26225 and 26235 is 5.

GCF(26225,26235) = 5

We will now calculate the prime factors of 26225 and 26235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26225 and 26235.

How to find the GCF of 26225 and 26235?

We will first find the prime factorization of 26225 and 26235. After we will calculate the factors of 26225 and 26235 and find the biggest common factor number .

Step-1: Prime Factorization of 26225

Prime factors of 26225 are 5, 1049. Prime factorization of 26225 in exponential form is:

26225 = 5² × 1049¹

Step-2: 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-3: Factors of 26225

List of positive integer factors of 26225 that divides 26225 without a remainder.

1, 5, 25, 1049, 5245

Step-4: Factors of 26235

List of positive integer factors of 26235 that divides 26225 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26225 and 26235. The biggest common factor number is the GCF number.
So the greatest common factor 26225 and 26235 is 5.

Also check out the Least Common Multiple of 26225 and 26235