What is the Greatest Common Factor of 73401 and 73413?

Greatest common factor (GCF) of 73401 and 73413 is 3.

GCF(73401,73413) = 3

We will now calculate the prime factors of 73401 and 73413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73401 and 73413.

How to find the GCF of 73401 and 73413?

We will first find the prime factorization of 73401 and 73413. After we will calculate the factors of 73401 and 73413 and find the biggest common factor number .

Step-1: Prime Factorization of 73401

Prime factors of 73401 are 3, 43, 569. Prime factorization of 73401 in exponential form is:

73401 = 3¹ × 43¹ × 569¹

Step-2: Prime Factorization of 73413

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

73413 = 3³ × 2719¹

Step-3: Factors of 73401

List of positive integer factors of 73401 that divides 73401 without a remainder.

1, 3, 43, 129, 569, 1707, 24467

Step-4: Factors of 73413

List of positive integer factors of 73413 that divides 73401 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73401 and 73413. The biggest common factor number is the GCF number.
So the greatest common factor 73401 and 73413 is 3.

Also check out the Least Common Multiple of 73401 and 73413