What is the Greatest Common Factor of 53325 and 53337?

Greatest common factor (GCF) of 53325 and 53337 is 3.

GCF(53325,53337) = 3

We will now calculate the prime factors of 53325 and 53337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53325 and 53337.

How to find the GCF of 53325 and 53337?

We will first find the prime factorization of 53325 and 53337. After we will calculate the factors of 53325 and 53337 and find the biggest common factor number .

Step-1: Prime Factorization of 53325

Prime factors of 53325 are 3, 5, 79. Prime factorization of 53325 in exponential form is:

53325 = 3³ × 5² × 79¹

Step-2: Prime Factorization of 53337

Prime factors of 53337 are 3, 23, 773. Prime factorization of 53337 in exponential form is:

53337 = 3¹ × 23¹ × 773¹

Step-3: Factors of 53325

List of positive integer factors of 53325 that divides 53325 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 79, 135, 225, 237, 395, 675, 711, 1185, 1975, 2133, 3555, 5925, 10665, 17775

Step-4: Factors of 53337

List of positive integer factors of 53337 that divides 53325 without a remainder.

1, 3, 23, 69, 773, 2319, 17779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53325 and 53337. The biggest common factor number is the GCF number.
So the greatest common factor 53325 and 53337 is 3.

Also check out the Least Common Multiple of 53325 and 53337