What is the Greatest Common Factor of 77472 and 77486?

Greatest common factor (GCF) of 77472 and 77486 is 2.

GCF(77472,77486) = 2

We will now calculate the prime factors of 77472 and 77486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77472 and 77486.

How to find the GCF of 77472 and 77486?

We will first find the prime factorization of 77472 and 77486. After we will calculate the factors of 77472 and 77486 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 77486

Prime factors of 77486 are 2, 17, 43, 53. Prime factorization of 77486 in exponential form is:

77486 = 2¹ × 17¹ × 43¹ × 53¹

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 77486

List of positive integer factors of 77486 that divides 77472 without a remainder.

1, 2, 17, 34, 43, 53, 86, 106, 731, 901, 1462, 1802, 2279, 4558, 38743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77472 and 77486. The biggest common factor number is the GCF number.
So the greatest common factor 77472 and 77486 is 2.

Also check out the Least Common Multiple of 77472 and 77486