What is the Greatest Common Factor of 77829 and 77843?

Greatest common factor (GCF) of 77829 and 77843 is 1.

GCF(77829,77843) = 1

We will now calculate the prime factors of 77829 and 77843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77829 and 77843.

How to find the GCF of 77829 and 77843?

We will first find the prime factorization of 77829 and 77843. After we will calculate the factors of 77829 and 77843 and find the biggest common factor number .

Step-1: Prime Factorization of 77829

Prime factors of 77829 are 3, 25943. Prime factorization of 77829 in exponential form is:

77829 = 3¹ × 25943¹

Step-2: 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-3: Factors of 77829

List of positive integer factors of 77829 that divides 77829 without a remainder.

1, 3, 25943

Step-4: Factors of 77843

List of positive integer factors of 77843 that divides 77829 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77829 and 77843. The biggest common factor number is the GCF number.
So the greatest common factor 77829 and 77843 is 1.

Also check out the Least Common Multiple of 77829 and 77843