What is the Greatest Common Factor of 59433 and 59440?

Greatest common factor (GCF) of 59433 and 59440 is 1.

GCF(59433,59440) = 1

We will now calculate the prime factors of 59433 and 59440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59433 and 59440.

How to find the GCF of 59433 and 59440?

We will first find the prime factorization of 59433 and 59440. After we will calculate the factors of 59433 and 59440 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59440

Prime factors of 59440 are 2, 5, 743. Prime factorization of 59440 in exponential form is:

59440 = 2⁴ × 5¹ × 743¹

Step-3: Factors of 59433

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

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

Step-4: Factors of 59440

List of positive integer factors of 59440 that divides 59433 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 743, 1486, 2972, 3715, 5944, 7430, 11888, 14860, 29720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59433 and 59440. The biggest common factor number is the GCF number.
So the greatest common factor 59433 and 59440 is 1.

Also check out the Least Common Multiple of 59433 and 59440