What is the Greatest Common Factor of 7431 and 7437?

Greatest common factor (GCF) of 7431 and 7437 is 3.

GCF(7431,7437) = 3

We will now calculate the prime factors of 7431 and 7437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7431 and 7437.

How to find the GCF of 7431 and 7437?

We will first find the prime factorization of 7431 and 7437. After we will calculate the factors of 7431 and 7437 and find the biggest common factor number .

Step-1: Prime Factorization of 7431

Prime factors of 7431 are 3, 2477. Prime factorization of 7431 in exponential form is:

7431 = 3¹ × 2477¹

Step-2: Prime Factorization of 7437

Prime factors of 7437 are 3, 37, 67. Prime factorization of 7437 in exponential form is:

7437 = 3¹ × 37¹ × 67¹

Step-3: Factors of 7431

List of positive integer factors of 7431 that divides 7431 without a remainder.

1, 3, 2477

Step-4: Factors of 7437

List of positive integer factors of 7437 that divides 7431 without a remainder.

1, 3, 37, 67, 111, 201, 2479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7431 and 7437. The biggest common factor number is the GCF number.
So the greatest common factor 7431 and 7437 is 3.

Also check out the Least Common Multiple of 7431 and 7437