What is the Greatest Common Factor of 74433 and 74437?

Greatest common factor (GCF) of 74433 and 74437 is 1.

GCF(74433,74437) = 1

We will now calculate the prime factors of 74433 and 74437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74433 and 74437.

How to find the GCF of 74433 and 74437?

We will first find the prime factorization of 74433 and 74437. After we will calculate the factors of 74433 and 74437 and find the biggest common factor number .

Step-1: Prime Factorization of 74433

Prime factors of 74433 are 3, 43, 577. Prime factorization of 74433 in exponential form is:

74433 = 3¹ × 43¹ × 577¹

Step-2: Prime Factorization of 74437

Prime factors of 74437 are 11, 67, 101. Prime factorization of 74437 in exponential form is:

74437 = 11¹ × 67¹ × 101¹

Step-3: Factors of 74433

List of positive integer factors of 74433 that divides 74433 without a remainder.

1, 3, 43, 129, 577, 1731, 24811

Step-4: Factors of 74437

List of positive integer factors of 74437 that divides 74433 without a remainder.

1, 11, 67, 101, 737, 1111, 6767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74433 and 74437. The biggest common factor number is the GCF number.
So the greatest common factor 74433 and 74437 is 1.

Also check out the Least Common Multiple of 74433 and 74437