What is the Greatest Common Factor of 77343 and 77357?

Greatest common factor (GCF) of 77343 and 77357 is 7.

GCF(77343,77357) = 7

We will now calculate the prime factors of 77343 and 77357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77343 and 77357.

How to find the GCF of 77343 and 77357?

We will first find the prime factorization of 77343 and 77357. After we will calculate the factors of 77343 and 77357 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 77357

Prime factors of 77357 are 7, 43, 257. Prime factorization of 77357 in exponential form is:

77357 = 7¹ × 43¹ × 257¹

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 77357

List of positive integer factors of 77357 that divides 77343 without a remainder.

1, 7, 43, 257, 301, 1799, 11051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77343 and 77357. The biggest common factor number is the GCF number.
So the greatest common factor 77343 and 77357 is 7.

Also check out the Least Common Multiple of 77343 and 77357