What is the Greatest Common Factor of 77874 and 77881?

Greatest common factor (GCF) of 77874 and 77881 is 1.

GCF(77874,77881) = 1

We will now calculate the prime factors of 77874 and 77881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77874 and 77881.

How to find the GCF of 77874 and 77881?

We will first find the prime factorization of 77874 and 77881. After we will calculate the factors of 77874 and 77881 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 77881

Prime factors of 77881 are 19, 4099. Prime factorization of 77881 in exponential form is:

77881 = 19¹ × 4099¹

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 77881

List of positive integer factors of 77881 that divides 77874 without a remainder.

1, 19, 4099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77874 and 77881. The biggest common factor number is the GCF number.
So the greatest common factor 77874 and 77881 is 1.

Also check out the Least Common Multiple of 77874 and 77881