What is the Greatest Common Factor of 5341 and 5359?

Greatest common factor (GCF) of 5341 and 5359 is 1.

GCF(5341,5359) = 1

We will now calculate the prime factors of 5341 and 5359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5341 and 5359.

How to find the GCF of 5341 and 5359?

We will first find the prime factorization of 5341 and 5359. After we will calculate the factors of 5341 and 5359 and find the biggest common factor number .

Step-1: Prime Factorization of 5341

Prime factors of 5341 are 7, 109. Prime factorization of 5341 in exponential form is:

5341 = 7² × 109¹

Step-2: Prime Factorization of 5359

Prime factors of 5359 are 23, 233. Prime factorization of 5359 in exponential form is:

5359 = 23¹ × 233¹

Step-3: Factors of 5341

List of positive integer factors of 5341 that divides 5341 without a remainder.

1, 7, 49, 109, 763

Step-4: Factors of 5359

List of positive integer factors of 5359 that divides 5341 without a remainder.

1, 23, 233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5341 and 5359. The biggest common factor number is the GCF number.
So the greatest common factor 5341 and 5359 is 1.

Also check out the Least Common Multiple of 5341 and 5359