What is the Greatest Common Factor of 73413 and 73419?

Greatest common factor (GCF) of 73413 and 73419 is 3.

GCF(73413,73419) = 3

We will now calculate the prime factors of 73413 and 73419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73413 and 73419.

How to find the GCF of 73413 and 73419?

We will first find the prime factorization of 73413 and 73419. After we will calculate the factors of 73413 and 73419 and find the biggest common factor number .

Step-1: Prime Factorization of 73413

Prime factors of 73413 are 3, 2719. Prime factorization of 73413 in exponential form is:

73413 = 3³ × 2719¹

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 73413

List of positive integer factors of 73413 that divides 73413 without a remainder.

1, 3, 9, 27, 2719, 8157, 24471

Step-4: Factors of 73419

List of positive integer factors of 73419 that divides 73413 without a remainder.

1, 3, 24473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73413 and 73419. The biggest common factor number is the GCF number.
So the greatest common factor 73413 and 73419 is 3.

Also check out the Least Common Multiple of 73413 and 73419