What is the Greatest Common Factor of 77908 and 77922?

Greatest common factor (GCF) of 77908 and 77922 is 2.

GCF(77908,77922) = 2

We will now calculate the prime factors of 77908 and 77922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77908 and 77922.

How to find the GCF of 77908 and 77922?

We will first find the prime factorization of 77908 and 77922. After we will calculate the factors of 77908 and 77922 and find the biggest common factor number .

Step-1: Prime Factorization of 77908

Prime factors of 77908 are 2, 19477. Prime factorization of 77908 in exponential form is:

77908 = 2² × 19477¹

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 77908

List of positive integer factors of 77908 that divides 77908 without a remainder.

1, 2, 4, 19477, 38954

Step-4: Factors of 77922

List of positive integer factors of 77922 that divides 77908 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 77908 and 77922. The biggest common factor number is the GCF number.
So the greatest common factor 77908 and 77922 is 2.

Also check out the Least Common Multiple of 77908 and 77922