What is the Greatest Common Factor of 5340 and 5359?

Greatest common factor (GCF) of 5340 and 5359 is 1.

GCF(5340,5359) = 1

We will now calculate the prime factors of 5340 and 5359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5340 and 5359.

How to find the GCF of 5340 and 5359?

We will first find the prime factorization of 5340 and 5359. After we will calculate the factors of 5340 and 5359 and find the biggest common factor number .

Step-1: Prime Factorization of 5340

Prime factors of 5340 are 2, 3, 5, 89. Prime factorization of 5340 in exponential form is:

5340 = 2² × 3¹ × 5¹ × 89¹

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 5340

List of positive integer factors of 5340 that divides 5340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 89, 178, 267, 356, 445, 534, 890, 1068, 1335, 1780, 2670

Step-4: Factors of 5359

List of positive integer factors of 5359 that divides 5340 without a remainder.

1, 23, 233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5340 and 5359. The biggest common factor number is the GCF number.
So the greatest common factor 5340 and 5359 is 1.

Also check out the Least Common Multiple of 5340 and 5359