What is the Greatest Common Factor of 77904 and 77922?

Greatest common factor (GCF) of 77904 and 77922 is 18.

GCF(77904,77922) = 18

We will now calculate the prime factors of 77904 and 77922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77904 and 77922.

How to find the GCF of 77904 and 77922?

We will first find the prime factorization of 77904 and 77922. After we will calculate the factors of 77904 and 77922 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 77922

Prime factors of 77922 are 2, 3, 13, 37. Prime factorization of 77922 in exponential form is:

77922 = 2¹ × 3⁴ × 13¹ × 37¹

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 77922

List of positive integer factors of 77922 that divides 77904 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 37, 39, 54, 74, 78, 81, 111, 117, 162, 222, 234, 333, 351, 481, 666, 702, 962, 999, 1053, 1443, 1998, 2106, 2886, 2997, 4329, 5994, 8658, 12987, 25974, 38961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77904 and 77922. The biggest common factor number is the GCF number.
So the greatest common factor 77904 and 77922 is 18.

Also check out the Least Common Multiple of 77904 and 77922