What is the Greatest Common Factor of 77843 and 77862?

Greatest common factor (GCF) of 77843 and 77862 is 19.

GCF(77843,77862) = 19

We will now calculate the prime factors of 77843 and 77862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77843 and 77862.

How to find the GCF of 77843 and 77862?

We will first find the prime factorization of 77843 and 77862. After we will calculate the factors of 77843 and 77862 and find the biggest common factor number .

Step-1: Prime Factorization of 77843

Prime factors of 77843 are 17, 19, 241. Prime factorization of 77843 in exponential form is:

77843 = 17¹ × 19¹ × 241¹

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 77843

List of positive integer factors of 77843 that divides 77843 without a remainder.

1, 17, 19, 241, 323, 4097, 4579

Step-4: Factors of 77862

List of positive integer factors of 77862 that divides 77843 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 77843 and 77862. The biggest common factor number is the GCF number.
So the greatest common factor 77843 and 77862 is 19.

Also check out the Least Common Multiple of 77843 and 77862