What is the Greatest Common Factor of 77874 and 77889?

Greatest common factor (GCF) of 77874 and 77889 is 3.

GCF(77874,77889) = 3

We will now calculate the prime factors of 77874 and 77889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77874 and 77889.

How to find the GCF of 77874 and 77889?

We will first find the prime factorization of 77874 and 77889. After we will calculate the factors of 77874 and 77889 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77889

Prime factors of 77889 are 3, 7, 3709. Prime factorization of 77889 in exponential form is:

77889 = 3¹ × 7¹ × 3709¹

Step-3: Factors of 77874

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

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

Step-4: Factors of 77889

List of positive integer factors of 77889 that divides 77874 without a remainder.

1, 3, 7, 21, 3709, 11127, 25963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77874 and 77889. The biggest common factor number is the GCF number.
So the greatest common factor 77874 and 77889 is 3.

Also check out the Least Common Multiple of 77874 and 77889