What is the Greatest Common Factor of 73488 and 73497?

Greatest common factor (GCF) of 73488 and 73497 is 3.

GCF(73488,73497) = 3

We will now calculate the prime factors of 73488 and 73497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73488 and 73497.

How to find the GCF of 73488 and 73497?

We will first find the prime factorization of 73488 and 73497. After we will calculate the factors of 73488 and 73497 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 73497

Prime factors of 73497 are 3, 24499. Prime factorization of 73497 in exponential form is:

73497 = 3¹ × 24499¹

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 73497

List of positive integer factors of 73497 that divides 73488 without a remainder.

1, 3, 24499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73488 and 73497. The biggest common factor number is the GCF number.
So the greatest common factor 73488 and 73497 is 3.

Also check out the Least Common Multiple of 73488 and 73497