What is the Greatest Common Factor of 74484 and 74499?

Greatest common factor (GCF) of 74484 and 74499 is 3.

GCF(74484,74499) = 3

We will now calculate the prime factors of 74484 and 74499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74484 and 74499.

How to find the GCF of 74484 and 74499?

We will first find the prime factorization of 74484 and 74499. After we will calculate the factors of 74484 and 74499 and find the biggest common factor number .

Step-1: Prime Factorization of 74484

Prime factors of 74484 are 2, 3, 2069. Prime factorization of 74484 in exponential form is:

74484 = 2² × 3² × 2069¹

Step-2: Prime Factorization of 74499

Prime factors of 74499 are 3, 19, 1307. Prime factorization of 74499 in exponential form is:

74499 = 3¹ × 19¹ × 1307¹

Step-3: Factors of 74484

List of positive integer factors of 74484 that divides 74484 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2069, 4138, 6207, 8276, 12414, 18621, 24828, 37242

Step-4: Factors of 74499

List of positive integer factors of 74499 that divides 74484 without a remainder.

1, 3, 19, 57, 1307, 3921, 24833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74484 and 74499. The biggest common factor number is the GCF number.
So the greatest common factor 74484 and 74499 is 3.

Also check out the Least Common Multiple of 74484 and 74499