What is the Greatest Common Factor of 5325 and 5344?

Greatest common factor (GCF) of 5325 and 5344 is 1.

GCF(5325,5344) = 1

We will now calculate the prime factors of 5325 and 5344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5325 and 5344.

How to find the GCF of 5325 and 5344?

We will first find the prime factorization of 5325 and 5344. After we will calculate the factors of 5325 and 5344 and find the biggest common factor number .

Step-1: Prime Factorization of 5325

Prime factors of 5325 are 3, 5, 71. Prime factorization of 5325 in exponential form is:

5325 = 3¹ × 5² × 71¹

Step-2: Prime Factorization of 5344

Prime factors of 5344 are 2, 167. Prime factorization of 5344 in exponential form is:

5344 = 2⁵ × 167¹

Step-3: Factors of 5325

List of positive integer factors of 5325 that divides 5325 without a remainder.

1, 3, 5, 15, 25, 71, 75, 213, 355, 1065, 1775

Step-4: Factors of 5344

List of positive integer factors of 5344 that divides 5325 without a remainder.

1, 2, 4, 8, 16, 32, 167, 334, 668, 1336, 2672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5325 and 5344. The biggest common factor number is the GCF number.
So the greatest common factor 5325 and 5344 is 1.

Also check out the Least Common Multiple of 5325 and 5344