What is the Greatest Common Factor of 53273 and 53290?

Greatest common factor (GCF) of 53273 and 53290 is 1.

GCF(53273,53290) = 1

We will now calculate the prime factors of 53273 and 53290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53273 and 53290.

How to find the GCF of 53273 and 53290?

We will first find the prime factorization of 53273 and 53290. After we will calculate the factors of 53273 and 53290 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 53290

Prime factors of 53290 are 2, 5, 73. Prime factorization of 53290 in exponential form is:

53290 = 2¹ × 5¹ × 73²

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 53290

List of positive integer factors of 53290 that divides 53273 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730, 5329, 10658, 26645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53273 and 53290. The biggest common factor number is the GCF number.
So the greatest common factor 53273 and 53290 is 1.

Also check out the Least Common Multiple of 53273 and 53290