What is the Greatest Common Factor of 77472 and 77476?

Greatest common factor (GCF) of 77472 and 77476 is 4.

GCF(77472,77476) = 4

We will now calculate the prime factors of 77472 and 77476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77472 and 77476.

How to find the GCF of 77472 and 77476?

We will first find the prime factorization of 77472 and 77476. After we will calculate the factors of 77472 and 77476 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 77476

Prime factors of 77476 are 2, 7, 2767. Prime factorization of 77476 in exponential form is:

77476 = 2² × 7¹ × 2767¹

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 77476

List of positive integer factors of 77476 that divides 77472 without a remainder.

1, 2, 4, 7, 14, 28, 2767, 5534, 11068, 19369, 38738

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77472 and 77476. The biggest common factor number is the GCF number.
So the greatest common factor 77472 and 77476 is 4.

Also check out the Least Common Multiple of 77472 and 77476