What is the Greatest Common Factor of 26235 and 26244?

Greatest common factor (GCF) of 26235 and 26244 is 9.

GCF(26235,26244) = 9

We will now calculate the prime factors of 26235 and 26244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26235 and 26244.

How to find the GCF of 26235 and 26244?

We will first find the prime factorization of 26235 and 26244. After we will calculate the factors of 26235 and 26244 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 26244

Prime factors of 26244 are 2, 3. Prime factorization of 26244 in exponential form is:

26244 = 2² × 3⁸

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 26244

List of positive integer factors of 26244 that divides 26235 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2187, 2916, 4374, 6561, 8748, 13122

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26235 and 26244. The biggest common factor number is the GCF number.
So the greatest common factor 26235 and 26244 is 9.

Also check out the Least Common Multiple of 26235 and 26244