What is the Greatest Common Factor of 77834 and 77854?

Greatest common factor (GCF) of 77834 and 77854 is 2.

GCF(77834,77854) = 2

We will now calculate the prime factors of 77834 and 77854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77834 and 77854.

How to find the GCF of 77834 and 77854?

We will first find the prime factorization of 77834 and 77854. After we will calculate the factors of 77834 and 77854 and find the biggest common factor number .

Step-1: Prime Factorization of 77834

Prime factors of 77834 are 2, 38917. Prime factorization of 77834 in exponential form is:

77834 = 2¹ × 38917¹

Step-2: 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-3: Factors of 77834

List of positive integer factors of 77834 that divides 77834 without a remainder.

1, 2, 38917

Step-4: Factors of 77854

List of positive integer factors of 77854 that divides 77834 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77834 and 77854. The biggest common factor number is the GCF number.
So the greatest common factor 77834 and 77854 is 2.

Also check out the Least Common Multiple of 77834 and 77854