What is the Greatest Common Factor of 77871 and 77882?

Greatest common factor (GCF) of 77871 and 77882 is 1.

GCF(77871,77882) = 1

We will now calculate the prime factors of 77871 and 77882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77871 and 77882.

How to find the GCF of 77871 and 77882?

We will first find the prime factorization of 77871 and 77882. After we will calculate the factors of 77871 and 77882 and find the biggest common factor number .

Step-1: Prime Factorization of 77871

Prime factors of 77871 are 3, 101, 257. Prime factorization of 77871 in exponential form is:

77871 = 3¹ × 101¹ × 257¹

Step-2: Prime Factorization of 77882

Prime factors of 77882 are 2, 7, 5563. Prime factorization of 77882 in exponential form is:

77882 = 2¹ × 7¹ × 5563¹

Step-3: Factors of 77871

List of positive integer factors of 77871 that divides 77871 without a remainder.

1, 3, 101, 257, 303, 771, 25957

Step-4: Factors of 77882

List of positive integer factors of 77882 that divides 77871 without a remainder.

1, 2, 7, 14, 5563, 11126, 38941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77871 and 77882. The biggest common factor number is the GCF number.
So the greatest common factor 77871 and 77882 is 1.

Also check out the Least Common Multiple of 77871 and 77882