What is the Greatest Common Factor of 77888 and 77904?

Greatest common factor (GCF) of 77888 and 77904 is 16.

GCF(77888,77904) = 16

We will now calculate the prime factors of 77888 and 77904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77888 and 77904.

How to find the GCF of 77888 and 77904?

We will first find the prime factorization of 77888 and 77904. After we will calculate the factors of 77888 and 77904 and find the biggest common factor number .

Step-1: Prime Factorization of 77888

Prime factors of 77888 are 2, 1217. Prime factorization of 77888 in exponential form is:

77888 = 2⁶ × 1217¹

Step-2: Prime Factorization of 77904

Prime factors of 77904 are 2, 3, 541. Prime factorization of 77904 in exponential form is:

77904 = 2⁴ × 3² × 541¹

Step-3: Factors of 77888

List of positive integer factors of 77888 that divides 77888 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1217, 2434, 4868, 9736, 19472, 38944

Step-4: Factors of 77904

List of positive integer factors of 77904 that divides 77888 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 541, 1082, 1623, 2164, 3246, 4328, 4869, 6492, 8656, 9738, 12984, 19476, 25968, 38952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77888 and 77904. The biggest common factor number is the GCF number.
So the greatest common factor 77888 and 77904 is 16.

Also check out the Least Common Multiple of 77888 and 77904