What is the Greatest Common Factor of 59424 and 59433?

Greatest common factor (GCF) of 59424 and 59433 is 3.

GCF(59424,59433) = 3

We will now calculate the prime factors of 59424 and 59433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59424 and 59433.

How to find the GCF of 59424 and 59433?

We will first find the prime factorization of 59424 and 59433. After we will calculate the factors of 59424 and 59433 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 59433

Prime factors of 59433 are 3, 11, 1801. Prime factorization of 59433 in exponential form is:

59433 = 3¹ × 11¹ × 1801¹

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 59433

List of positive integer factors of 59433 that divides 59424 without a remainder.

1, 3, 11, 33, 1801, 5403, 19811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59424 and 59433. The biggest common factor number is the GCF number.
So the greatest common factor 59424 and 59433 is 3.

Also check out the Least Common Multiple of 59424 and 59433