What is the Greatest Common Factor of 53283 and 53289?

Greatest common factor (GCF) of 53283 and 53289 is 3.

GCF(53283,53289) = 3

We will now calculate the prime factors of 53283 and 53289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53283 and 53289.

How to find the GCF of 53283 and 53289?

We will first find the prime factorization of 53283 and 53289. After we will calculate the factors of 53283 and 53289 and find the biggest common factor number .

Step-1: Prime Factorization of 53283

Prime factors of 53283 are 3, 17761. Prime factorization of 53283 in exponential form is:

53283 = 3¹ × 17761¹

Step-2: Prime Factorization of 53289

Prime factors of 53289 are 3, 31, 191. Prime factorization of 53289 in exponential form is:

53289 = 3² × 31¹ × 191¹

Step-3: Factors of 53283

List of positive integer factors of 53283 that divides 53283 without a remainder.

1, 3, 17761

Step-4: Factors of 53289

List of positive integer factors of 53289 that divides 53283 without a remainder.

1, 3, 9, 31, 93, 191, 279, 573, 1719, 5921, 17763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53283 and 53289. The biggest common factor number is the GCF number.
So the greatest common factor 53283 and 53289 is 3.

Also check out the Least Common Multiple of 53283 and 53289