What is the Greatest Common Factor of 77343 and 77359?

Greatest common factor (GCF) of 77343 and 77359 is 1.

GCF(77343,77359) = 1

We will now calculate the prime factors of 77343 and 77359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77343 and 77359.

How to find the GCF of 77343 and 77359?

We will first find the prime factorization of 77343 and 77359. After we will calculate the factors of 77343 and 77359 and find the biggest common factor number .

Step-1: Prime Factorization of 77343

Prime factors of 77343 are 3, 7, 29, 127. Prime factorization of 77343 in exponential form is:

77343 = 3¹ × 7¹ × 29¹ × 127¹

Step-2: Prime Factorization of 77359

Prime factors of 77359 are 77359. Prime factorization of 77359 in exponential form is:

77359 = 77359¹

Step-3: Factors of 77343

List of positive integer factors of 77343 that divides 77343 without a remainder.

1, 3, 7, 21, 29, 87, 127, 203, 381, 609, 889, 2667, 3683, 11049, 25781

Step-4: Factors of 77359

List of positive integer factors of 77359 that divides 77343 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77343 and 77359. The biggest common factor number is the GCF number.
So the greatest common factor 77343 and 77359 is 1.

Also check out the Least Common Multiple of 77343 and 77359