What is the Greatest Common Factor of 77860 and 77878?

Greatest common factor (GCF) of 77860 and 77878 is 2.

GCF(77860,77878) = 2

We will now calculate the prime factors of 77860 and 77878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77860 and 77878.

How to find the GCF of 77860 and 77878?

We will first find the prime factorization of 77860 and 77878. After we will calculate the factors of 77860 and 77878 and find the biggest common factor number .

Step-1: Prime Factorization of 77860

Prime factors of 77860 are 2, 5, 17, 229. Prime factorization of 77860 in exponential form is:

77860 = 2² × 5¹ × 17¹ × 229¹

Step-2: Prime Factorization of 77878

Prime factors of 77878 are 2, 23, 1693. Prime factorization of 77878 in exponential form is:

77878 = 2¹ × 23¹ × 1693¹

Step-3: Factors of 77860

List of positive integer factors of 77860 that divides 77860 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 229, 340, 458, 916, 1145, 2290, 3893, 4580, 7786, 15572, 19465, 38930

Step-4: Factors of 77878

List of positive integer factors of 77878 that divides 77860 without a remainder.

1, 2, 23, 46, 1693, 3386, 38939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77860 and 77878. The biggest common factor number is the GCF number.
So the greatest common factor 77860 and 77878 is 2.

Also check out the Least Common Multiple of 77860 and 77878