What is the Greatest Common Factor of 52443 and 52458?

Greatest common factor (GCF) of 52443 and 52458 is 3.

GCF(52443,52458) = 3

We will now calculate the prime factors of 52443 and 52458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52443 and 52458.

How to find the GCF of 52443 and 52458?

We will first find the prime factorization of 52443 and 52458. After we will calculate the factors of 52443 and 52458 and find the biggest common factor number .

Step-1: Prime Factorization of 52443

Prime factors of 52443 are 3, 5827. Prime factorization of 52443 in exponential form is:

52443 = 3² × 5827¹

Step-2: Prime Factorization of 52458

Prime factors of 52458 are 2, 3, 7, 1249. Prime factorization of 52458 in exponential form is:

52458 = 2¹ × 3¹ × 7¹ × 1249¹

Step-3: Factors of 52443

List of positive integer factors of 52443 that divides 52443 without a remainder.

1, 3, 9, 5827, 17481

Step-4: Factors of 52458

List of positive integer factors of 52458 that divides 52443 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1249, 2498, 3747, 7494, 8743, 17486, 26229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52443 and 52458. The biggest common factor number is the GCF number.
So the greatest common factor 52443 and 52458 is 3.

Also check out the Least Common Multiple of 52443 and 52458