What is the Greatest Common Factor of 77874 and 77887?

Greatest common factor (GCF) of 77874 and 77887 is 1.

GCF(77874,77887) = 1

We will now calculate the prime factors of 77874 and 77887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77874 and 77887.

How to find the GCF of 77874 and 77887?

We will first find the prime factorization of 77874 and 77887. After we will calculate the factors of 77874 and 77887 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 77887

Prime factors of 77887 are 71, 1097. Prime factorization of 77887 in exponential form is:

77887 = 71¹ × 1097¹

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 77887

List of positive integer factors of 77887 that divides 77874 without a remainder.

1, 71, 1097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77874 and 77887. The biggest common factor number is the GCF number.
So the greatest common factor 77874 and 77887 is 1.

Also check out the Least Common Multiple of 77874 and 77887