What is the Greatest Common Factor of 7464 and 7473?

Greatest common factor (GCF) of 7464 and 7473 is 3.

GCF(7464,7473) = 3

We will now calculate the prime factors of 7464 and 7473, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7464 and 7473.

How to find the GCF of 7464 and 7473?

We will first find the prime factorization of 7464 and 7473. After we will calculate the factors of 7464 and 7473 and find the biggest common factor number .

Step-1: Prime Factorization of 7464

Prime factors of 7464 are 2, 3, 311. Prime factorization of 7464 in exponential form is:

7464 = 2³ × 3¹ × 311¹

Step-2: Prime Factorization of 7473

Prime factors of 7473 are 3, 47, 53. Prime factorization of 7473 in exponential form is:

7473 = 3¹ × 47¹ × 53¹

Step-3: Factors of 7464

List of positive integer factors of 7464 that divides 7464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 311, 622, 933, 1244, 1866, 2488, 3732

Step-4: Factors of 7473

List of positive integer factors of 7473 that divides 7464 without a remainder.

1, 3, 47, 53, 141, 159, 2491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7464 and 7473. The biggest common factor number is the GCF number.
So the greatest common factor 7464 and 7473 is 3.

Also check out the Least Common Multiple of 7464 and 7473