What is the Greatest Common Factor of 73404 and 73419?

Greatest common factor (GCF) of 73404 and 73419 is 3.

GCF(73404,73419) = 3

We will now calculate the prime factors of 73404 and 73419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73404 and 73419.

How to find the GCF of 73404 and 73419?

We will first find the prime factorization of 73404 and 73419. After we will calculate the factors of 73404 and 73419 and find the biggest common factor number .

Step-1: Prime Factorization of 73404

Prime factors of 73404 are 2, 3, 2039. Prime factorization of 73404 in exponential form is:

73404 = 2² × 3² × 2039¹

Step-2: Prime Factorization of 73419

Prime factors of 73419 are 3, 24473. Prime factorization of 73419 in exponential form is:

73419 = 3¹ × 24473¹

Step-3: Factors of 73404

List of positive integer factors of 73404 that divides 73404 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2039, 4078, 6117, 8156, 12234, 18351, 24468, 36702

Step-4: Factors of 73419

List of positive integer factors of 73419 that divides 73404 without a remainder.

1, 3, 24473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73404 and 73419. The biggest common factor number is the GCF number.
So the greatest common factor 73404 and 73419 is 3.

Also check out the Least Common Multiple of 73404 and 73419