What is the Greatest Common Factor of 26235 and 26246?

Greatest common factor (GCF) of 26235 and 26246 is 11.

GCF(26235,26246) = 11

We will now calculate the prime factors of 26235 and 26246, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26235 and 26246.

How to find the GCF of 26235 and 26246?

We will first find the prime factorization of 26235 and 26246. After we will calculate the factors of 26235 and 26246 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 26246

Prime factors of 26246 are 2, 11, 1193. Prime factorization of 26246 in exponential form is:

26246 = 2¹ × 11¹ × 1193¹

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 26246

List of positive integer factors of 26246 that divides 26235 without a remainder.

1, 2, 11, 22, 1193, 2386, 13123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26235 and 26246. The biggest common factor number is the GCF number.
So the greatest common factor 26235 and 26246 is 11.

Also check out the Least Common Multiple of 26235 and 26246