What is the Greatest Common Factor of 77854 and 77866?

Greatest common factor (GCF) of 77854 and 77866 is 2.

GCF(77854,77866) = 2

We will now calculate the prime factors of 77854 and 77866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77854 and 77866.

How to find the GCF of 77854 and 77866?

We will first find the prime factorization of 77854 and 77866. After we will calculate the factors of 77854 and 77866 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 77866

Prime factors of 77866 are 2, 38933. Prime factorization of 77866 in exponential form is:

77866 = 2¹ × 38933¹

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 77866

List of positive integer factors of 77866 that divides 77854 without a remainder.

1, 2, 38933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77854 and 77866. The biggest common factor number is the GCF number.
So the greatest common factor 77854 and 77866 is 2.

Also check out the Least Common Multiple of 77854 and 77866