What is the Greatest Common Factor of 73488 and 73503?

Greatest common factor (GCF) of 73488 and 73503 is 3.

GCF(73488,73503) = 3

We will now calculate the prime factors of 73488 and 73503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73488 and 73503.

How to find the GCF of 73488 and 73503?

We will first find the prime factorization of 73488 and 73503. After we will calculate the factors of 73488 and 73503 and find the biggest common factor number .

Step-1: Prime Factorization of 73488

Prime factors of 73488 are 2, 3, 1531. Prime factorization of 73488 in exponential form is:

73488 = 2⁴ × 3¹ × 1531¹

Step-2: Prime Factorization of 73503

Prime factors of 73503 are 3, 8167. Prime factorization of 73503 in exponential form is:

73503 = 3² × 8167¹

Step-3: Factors of 73488

List of positive integer factors of 73488 that divides 73488 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1531, 3062, 4593, 6124, 9186, 12248, 18372, 24496, 36744

Step-4: Factors of 73503

List of positive integer factors of 73503 that divides 73488 without a remainder.

1, 3, 9, 8167, 24501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73488 and 73503. The biggest common factor number is the GCF number.
So the greatest common factor 73488 and 73503 is 3.

Also check out the Least Common Multiple of 73488 and 73503