What is the Greatest Common Factor of 77904 and 77919?

Greatest common factor (GCF) of 77904 and 77919 is 3.

GCF(77904,77919) = 3

We will now calculate the prime factors of 77904 and 77919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77904 and 77919.

How to find the GCF of 77904 and 77919?

We will first find the prime factorization of 77904 and 77919. After we will calculate the factors of 77904 and 77919 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77919

Prime factors of 77919 are 3, 19, 1367. Prime factorization of 77919 in exponential form is:

77919 = 3¹ × 19¹ × 1367¹

Step-3: Factors of 77904

List of positive integer factors of 77904 that divides 77904 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

Step-4: Factors of 77919

List of positive integer factors of 77919 that divides 77904 without a remainder.

1, 3, 19, 57, 1367, 4101, 25973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77904 and 77919. The biggest common factor number is the GCF number.
So the greatest common factor 77904 and 77919 is 3.

Also check out the Least Common Multiple of 77904 and 77919