What is the Greatest Common Factor of 77854 and 77862?

Greatest common factor (GCF) of 77854 and 77862 is 2.

GCF(77854,77862) = 2

We will now calculate the prime factors of 77854 and 77862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77854 and 77862.

How to find the GCF of 77854 and 77862?

We will first find the prime factorization of 77854 and 77862. After we will calculate the factors of 77854 and 77862 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 77862

Prime factors of 77862 are 2, 3, 19, 683. Prime factorization of 77862 in exponential form is:

77862 = 2¹ × 3¹ × 19¹ × 683¹

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 77862

List of positive integer factors of 77862 that divides 77854 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 683, 1366, 2049, 4098, 12977, 25954, 38931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77854 and 77862. The biggest common factor number is the GCF number.
So the greatest common factor 77854 and 77862 is 2.

Also check out the Least Common Multiple of 77854 and 77862