What is the Greatest Common Factor of 77922 and 77934?

Greatest common factor (GCF) of 77922 and 77934 is 6.

GCF(77922,77934) = 6

We will now calculate the prime factors of 77922 and 77934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77922 and 77934.

How to find the GCF of 77922 and 77934?

We will first find the prime factorization of 77922 and 77934. After we will calculate the factors of 77922 and 77934 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77934

Prime factors of 77934 are 2, 3, 31, 419. Prime factorization of 77934 in exponential form is:

77934 = 2¹ × 3¹ × 31¹ × 419¹

Step-3: Factors of 77922

List of positive integer factors of 77922 that divides 77922 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

Step-4: Factors of 77934

List of positive integer factors of 77934 that divides 77922 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 419, 838, 1257, 2514, 12989, 25978, 38967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77922 and 77934. The biggest common factor number is the GCF number.
So the greatest common factor 77922 and 77934 is 6.

Also check out the Least Common Multiple of 77922 and 77934