What is the Greatest Common Factor of 77456 and 77472?

Greatest common factor (GCF) of 77456 and 77472 is 16.

GCF(77456,77472) = 16

We will now calculate the prime factors of 77456 and 77472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77456 and 77472.

How to find the GCF of 77456 and 77472?

We will first find the prime factorization of 77456 and 77472. After we will calculate the factors of 77456 and 77472 and find the biggest common factor number .

Step-1: Prime Factorization of 77456

Prime factors of 77456 are 2, 47, 103. Prime factorization of 77456 in exponential form is:

77456 = 2⁴ × 47¹ × 103¹

Step-2: 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-3: Factors of 77456

List of positive integer factors of 77456 that divides 77456 without a remainder.

1, 2, 4, 8, 16, 47, 94, 103, 188, 206, 376, 412, 752, 824, 1648, 4841, 9682, 19364, 38728

Step-4: Factors of 77472

List of positive integer factors of 77472 that divides 77456 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77456 and 77472. The biggest common factor number is the GCF number.
So the greatest common factor 77456 and 77472 is 16.

Also check out the Least Common Multiple of 77456 and 77472