What is the Greatest Common Factor of 24486 and 24497?

Greatest common factor (GCF) of 24486 and 24497 is 11.

GCF(24486,24497) = 11

We will now calculate the prime factors of 24486 and 24497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24486 and 24497.

How to find the GCF of 24486 and 24497?

We will first find the prime factorization of 24486 and 24497. After we will calculate the factors of 24486 and 24497 and find the biggest common factor number .

Step-1: Prime Factorization of 24486

Prime factors of 24486 are 2, 3, 7, 11, 53. Prime factorization of 24486 in exponential form is:

24486 = 2¹ × 3¹ × 7¹ × 11¹ × 53¹

Step-2: Prime Factorization of 24497

Prime factors of 24497 are 11, 17, 131. Prime factorization of 24497 in exponential form is:

24497 = 11¹ × 17¹ × 131¹

Step-3: Factors of 24486

List of positive integer factors of 24486 that divides 24486 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 53, 66, 77, 106, 154, 159, 231, 318, 371, 462, 583, 742, 1113, 1166, 1749, 2226, 3498, 4081, 8162, 12243

Step-4: Factors of 24497

List of positive integer factors of 24497 that divides 24486 without a remainder.

1, 11, 17, 131, 187, 1441, 2227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24486 and 24497. The biggest common factor number is the GCF number.
So the greatest common factor 24486 and 24497 is 11.

Also check out the Least Common Multiple of 24486 and 24497