What is the Greatest Common Factor of 73488 and 73492?

Greatest common factor (GCF) of 73488 and 73492 is 4.

GCF(73488,73492) = 4

We will now calculate the prime factors of 73488 and 73492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73488 and 73492.

How to find the GCF of 73488 and 73492?

We will first find the prime factorization of 73488 and 73492. After we will calculate the factors of 73488 and 73492 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 73492

Prime factors of 73492 are 2, 19, 967. Prime factorization of 73492 in exponential form is:

73492 = 2² × 19¹ × 967¹

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 73492

List of positive integer factors of 73492 that divides 73488 without a remainder.

1, 2, 4, 19, 38, 76, 967, 1934, 3868, 18373, 36746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73488 and 73492. The biggest common factor number is the GCF number.
So the greatest common factor 73488 and 73492 is 4.

Also check out the Least Common Multiple of 73488 and 73492