What is the Greatest Common Factor of 77854 and 77871?

Greatest common factor (GCF) of 77854 and 77871 is 1.

GCF(77854,77871) = 1

We will now calculate the prime factors of 77854 and 77871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77854 and 77871.

How to find the GCF of 77854 and 77871?

We will first find the prime factorization of 77854 and 77871. After we will calculate the factors of 77854 and 77871 and find the biggest common factor number .

Step-1: Prime Factorization of 77854

Prime factors of 77854 are 2, 7, 67, 83. Prime factorization of 77854 in exponential form is:

77854 = 2¹ × 7¹ × 67¹ × 83¹

Step-2: 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-3: Factors of 77854

List of positive integer factors of 77854 that divides 77854 without a remainder.

1, 2, 7, 14, 67, 83, 134, 166, 469, 581, 938, 1162, 5561, 11122, 38927

Step-4: Factors of 77871

List of positive integer factors of 77871 that divides 77854 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77854 and 77871. The biggest common factor number is the GCF number.
So the greatest common factor 77854 and 77871 is 1.

Also check out the Least Common Multiple of 77854 and 77871