What is the Greatest Common Factor of 77472 and 77478?

Greatest common factor (GCF) of 77472 and 77478 is 6.

GCF(77472,77478) = 6

We will now calculate the prime factors of 77472 and 77478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77472 and 77478.

How to find the GCF of 77472 and 77478?

We will first find the prime factorization of 77472 and 77478. After we will calculate the factors of 77472 and 77478 and find the biggest common factor number .

Step-1: Prime Factorization of 77472

Prime factors of 77472 are 2, 3, 269. Prime factorization of 77472 in exponential form is:

77472 = 2⁵ × 3² × 269¹

Step-2: Prime Factorization of 77478

Prime factors of 77478 are 2, 3, 37, 349. Prime factorization of 77478 in exponential form is:

77478 = 2¹ × 3¹ × 37¹ × 349¹

Step-3: Factors of 77472

List of positive integer factors of 77472 that divides 77472 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 269, 288, 538, 807, 1076, 1614, 2152, 2421, 3228, 4304, 4842, 6456, 8608, 9684, 12912, 19368, 25824, 38736

Step-4: Factors of 77478

List of positive integer factors of 77478 that divides 77472 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 349, 698, 1047, 2094, 12913, 25826, 38739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77472 and 77478. The biggest common factor number is the GCF number.
So the greatest common factor 77472 and 77478 is 6.

Also check out the Least Common Multiple of 77472 and 77478