What is the Greatest Common Factor of 59424 and 59443?

Greatest common factor (GCF) of 59424 and 59443 is 1.

GCF(59424,59443) = 1

We will now calculate the prime factors of 59424 and 59443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59424 and 59443.

How to find the GCF of 59424 and 59443?

We will first find the prime factorization of 59424 and 59443. After we will calculate the factors of 59424 and 59443 and find the biggest common factor number .

Step-1: Prime Factorization of 59424

Prime factors of 59424 are 2, 3, 619. Prime factorization of 59424 in exponential form is:

59424 = 2⁵ × 3¹ × 619¹

Step-2: Prime Factorization of 59443

Prime factors of 59443 are 59443. Prime factorization of 59443 in exponential form is:

59443 = 59443¹

Step-3: Factors of 59424

List of positive integer factors of 59424 that divides 59424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 619, 1238, 1857, 2476, 3714, 4952, 7428, 9904, 14856, 19808, 29712

Step-4: Factors of 59443

List of positive integer factors of 59443 that divides 59424 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59424 and 59443. The biggest common factor number is the GCF number.
So the greatest common factor 59424 and 59443 is 1.

Also check out the Least Common Multiple of 59424 and 59443