What is the Greatest Common Factor of 24768 and 24778?

Greatest common factor (GCF) of 24768 and 24778 is 2.

GCF(24768,24778) = 2

We will now calculate the prime factors of 24768 and 24778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24768 and 24778.

How to find the GCF of 24768 and 24778?

We will first find the prime factorization of 24768 and 24778. After we will calculate the factors of 24768 and 24778 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24778

Prime factors of 24778 are 2, 13, 953. Prime factorization of 24778 in exponential form is:

24778 = 2¹ × 13¹ × 953¹

Step-3: Factors of 24768

List of positive integer factors of 24768 that divides 24768 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

Step-4: Factors of 24778

List of positive integer factors of 24778 that divides 24768 without a remainder.

1, 2, 13, 26, 953, 1906, 12389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24768 and 24778. The biggest common factor number is the GCF number.
So the greatest common factor 24768 and 24778 is 2.

Also check out the Least Common Multiple of 24768 and 24778