What is the Greatest Common Factor of 53273 and 53284?

Greatest common factor (GCF) of 53273 and 53284 is 11.

GCF(53273,53284) = 11

We will now calculate the prime factors of 53273 and 53284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53273 and 53284.

How to find the GCF of 53273 and 53284?

We will first find the prime factorization of 53273 and 53284. After we will calculate the factors of 53273 and 53284 and find the biggest common factor number .

Step-1: Prime Factorization of 53273

Prime factors of 53273 are 11, 29, 167. Prime factorization of 53273 in exponential form is:

53273 = 11¹ × 29¹ × 167¹

Step-2: Prime Factorization of 53284

Prime factors of 53284 are 2, 7, 11, 173. Prime factorization of 53284 in exponential form is:

53284 = 2² × 7¹ × 11¹ × 173¹

Step-3: Factors of 53273

List of positive integer factors of 53273 that divides 53273 without a remainder.

1, 11, 29, 167, 319, 1837, 4843

Step-4: Factors of 53284

List of positive integer factors of 53284 that divides 53273 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 173, 308, 346, 692, 1211, 1903, 2422, 3806, 4844, 7612, 13321, 26642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53273 and 53284. The biggest common factor number is the GCF number.
So the greatest common factor 53273 and 53284 is 11.

Also check out the Least Common Multiple of 53273 and 53284