What is the Greatest Common Factor of 73341 and 73350?

Greatest common factor (GCF) of 73341 and 73350 is 9.

GCF(73341,73350) = 9

We will now calculate the prime factors of 73341 and 73350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73341 and 73350.

How to find the GCF of 73341 and 73350?

We will first find the prime factorization of 73341 and 73350. After we will calculate the factors of 73341 and 73350 and find the biggest common factor number .

Step-1: Prime Factorization of 73341

Prime factors of 73341 are 3, 29, 281. Prime factorization of 73341 in exponential form is:

73341 = 3² × 29¹ × 281¹

Step-2: Prime Factorization of 73350

Prime factors of 73350 are 2, 3, 5, 163. Prime factorization of 73350 in exponential form is:

73350 = 2¹ × 3² × 5² × 163¹

Step-3: Factors of 73341

List of positive integer factors of 73341 that divides 73341 without a remainder.

1, 3, 9, 29, 87, 261, 281, 843, 2529, 8149, 24447

Step-4: Factors of 73350

List of positive integer factors of 73350 that divides 73341 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 163, 225, 326, 450, 489, 815, 978, 1467, 1630, 2445, 2934, 4075, 4890, 7335, 8150, 12225, 14670, 24450, 36675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73341 and 73350. The biggest common factor number is the GCF number.
So the greatest common factor 73341 and 73350 is 9.

Also check out the Least Common Multiple of 73341 and 73350