What is the Greatest Common Factor of 74499 and 74511?

Greatest common factor (GCF) of 74499 and 74511 is 3.

GCF(74499,74511) = 3

We will now calculate the prime factors of 74499 and 74511, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74499 and 74511.

How to find the GCF of 74499 and 74511?

We will first find the prime factorization of 74499 and 74511. After we will calculate the factors of 74499 and 74511 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74511

Prime factors of 74511 are 3, 17, 487. Prime factorization of 74511 in exponential form is:

74511 = 3² × 17¹ × 487¹

Step-3: Factors of 74499

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

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

Step-4: Factors of 74511

List of positive integer factors of 74511 that divides 74499 without a remainder.

1, 3, 9, 17, 51, 153, 487, 1461, 4383, 8279, 24837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74499 and 74511. The biggest common factor number is the GCF number.
So the greatest common factor 74499 and 74511 is 3.

Also check out the Least Common Multiple of 74499 and 74511