What is the Greatest Common Factor of 24762 and 24768?

Greatest common factor (GCF) of 24762 and 24768 is 6.

GCF(24762,24768) = 6

We will now calculate the prime factors of 24762 and 24768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24762 and 24768.

How to find the GCF of 24762 and 24768?

We will first find the prime factorization of 24762 and 24768. After we will calculate the factors of 24762 and 24768 and find the biggest common factor number .

Step-1: Prime Factorization of 24762

Prime factors of 24762 are 2, 3, 4127. Prime factorization of 24762 in exponential form is:

24762 = 2¹ × 3¹ × 4127¹

Step-2: Prime Factorization of 24768

Prime factors of 24768 are 2, 3, 43. Prime factorization of 24768 in exponential form is:

24768 = 2⁶ × 3² × 43¹

Step-3: Factors of 24762

List of positive integer factors of 24762 that divides 24762 without a remainder.

1, 2, 3, 6, 4127, 8254, 12381

Step-4: Factors of 24768

List of positive integer factors of 24768 that divides 24762 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 43, 48, 64, 72, 86, 96, 129, 144, 172, 192, 258, 288, 344, 387, 516, 576, 688, 774, 1032, 1376, 1548, 2064, 2752, 3096, 4128, 6192, 8256, 12384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24762 and 24768. The biggest common factor number is the GCF number.
So the greatest common factor 24762 and 24768 is 6.

Also check out the Least Common Multiple of 24762 and 24768