What is the Greatest Common Factor of 5395 and 5413?

Greatest common factor (GCF) of 5395 and 5413 is 1.

GCF(5395,5413) = 1

We will now calculate the prime factors of 5395 and 5413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5395 and 5413.

How to find the GCF of 5395 and 5413?

We will first find the prime factorization of 5395 and 5413. After we will calculate the factors of 5395 and 5413 and find the biggest common factor number .

Step-1: Prime Factorization of 5395

Prime factors of 5395 are 5, 13, 83. Prime factorization of 5395 in exponential form is:

5395 = 5¹ × 13¹ × 83¹

Step-2: Prime Factorization of 5413

Prime factors of 5413 are 5413. Prime factorization of 5413 in exponential form is:

5413 = 5413¹

Step-3: Factors of 5395

List of positive integer factors of 5395 that divides 5395 without a remainder.

1, 5, 13, 65, 83, 415, 1079

Step-4: Factors of 5413

List of positive integer factors of 5413 that divides 5395 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5395 and 5413. The biggest common factor number is the GCF number.
So the greatest common factor 5395 and 5413 is 1.

Also check out the Least Common Multiple of 5395 and 5413