What is the Greatest Common Factor of 58443 and 58454?

Greatest common factor (GCF) of 58443 and 58454 is 11.

GCF(58443,58454) = 11

We will now calculate the prime factors of 58443 and 58454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58443 and 58454.

How to find the GCF of 58443 and 58454?

We will first find the prime factorization of 58443 and 58454. After we will calculate the factors of 58443 and 58454 and find the biggest common factor number .

Step-1: Prime Factorization of 58443

Prime factors of 58443 are 3, 7, 11, 23. Prime factorization of 58443 in exponential form is:

58443 = 3¹ × 7¹ × 11² × 23¹

Step-2: Prime Factorization of 58454

Prime factors of 58454 are 2, 11, 2657. Prime factorization of 58454 in exponential form is:

58454 = 2¹ × 11¹ × 2657¹

Step-3: Factors of 58443

List of positive integer factors of 58443 that divides 58443 without a remainder.

1, 3, 7, 11, 21, 23, 33, 69, 77, 121, 161, 231, 253, 363, 483, 759, 847, 1771, 2541, 2783, 5313, 8349, 19481

Step-4: Factors of 58454

List of positive integer factors of 58454 that divides 58443 without a remainder.

1, 2, 11, 22, 2657, 5314, 29227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58443 and 58454. The biggest common factor number is the GCF number.
So the greatest common factor 58443 and 58454 is 11.

Also check out the Least Common Multiple of 58443 and 58454