What is the Greatest Common Factor of 26235 and 26240?

Greatest common factor (GCF) of 26235 and 26240 is 5.

GCF(26235,26240) = 5

We will now calculate the prime factors of 26235 and 26240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26235 and 26240.

How to find the GCF of 26235 and 26240?

We will first find the prime factorization of 26235 and 26240. After we will calculate the factors of 26235 and 26240 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 26240

Prime factors of 26240 are 2, 5, 41. Prime factorization of 26240 in exponential form is:

26240 = 2⁷ × 5¹ × 41¹

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 26240

List of positive integer factors of 26240 that divides 26235 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 41, 64, 80, 82, 128, 160, 164, 205, 320, 328, 410, 640, 656, 820, 1312, 1640, 2624, 3280, 5248, 6560, 13120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26235 and 26240. The biggest common factor number is the GCF number.
So the greatest common factor 26235 and 26240 is 5.

Also check out the Least Common Multiple of 26235 and 26240