What is the Greatest Common Factor of 77859 and 77874?

Greatest common factor (GCF) of 77859 and 77874 is 3.

GCF(77859,77874) = 3

We will now calculate the prime factors of 77859 and 77874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77859 and 77874.

How to find the GCF of 77859 and 77874?

We will first find the prime factorization of 77859 and 77874. After we will calculate the factors of 77859 and 77874 and find the biggest common factor number .

Step-1: Prime Factorization of 77859

Prime factors of 77859 are 3, 41, 211. Prime factorization of 77859 in exponential form is:

77859 = 3² × 41¹ × 211¹

Step-2: Prime Factorization of 77874

Prime factors of 77874 are 2, 3, 12979. Prime factorization of 77874 in exponential form is:

77874 = 2¹ × 3¹ × 12979¹

Step-3: Factors of 77859

List of positive integer factors of 77859 that divides 77859 without a remainder.

1, 3, 9, 41, 123, 211, 369, 633, 1899, 8651, 25953

Step-4: Factors of 77874

List of positive integer factors of 77874 that divides 77859 without a remainder.

1, 2, 3, 6, 12979, 25958, 38937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77859 and 77874. The biggest common factor number is the GCF number.
So the greatest common factor 77859 and 77874 is 3.

Also check out the Least Common Multiple of 77859 and 77874