What is the Greatest Common Factor of 73419 and 73431?

Greatest common factor (GCF) of 73419 and 73431 is 3.

GCF(73419,73431) = 3

We will now calculate the prime factors of 73419 and 73431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73419 and 73431.

How to find the GCF of 73419 and 73431?

We will first find the prime factorization of 73419 and 73431. After we will calculate the factors of 73419 and 73431 and find the biggest common factor number .

Step-1: Prime Factorization of 73419

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

73419 = 3¹ × 24473¹

Step-2: Prime Factorization of 73431

Prime factors of 73431 are 3, 41, 199. Prime factorization of 73431 in exponential form is:

73431 = 3² × 41¹ × 199¹

Step-3: Factors of 73419

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

1, 3, 24473

Step-4: Factors of 73431

List of positive integer factors of 73431 that divides 73419 without a remainder.

1, 3, 9, 41, 123, 199, 369, 597, 1791, 8159, 24477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73419 and 73431. The biggest common factor number is the GCF number.
So the greatest common factor 73419 and 73431 is 3.

Also check out the Least Common Multiple of 73419 and 73431