What is the Greatest Common Factor of 73302 and 73321?

Greatest common factor (GCF) of 73302 and 73321 is 19.

GCF(73302,73321) = 19

We will now calculate the prime factors of 73302 and 73321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73302 and 73321.

How to find the GCF of 73302 and 73321?

We will first find the prime factorization of 73302 and 73321. After we will calculate the factors of 73302 and 73321 and find the biggest common factor number .

Step-1: Prime Factorization of 73302

Prime factors of 73302 are 2, 3, 19, 643. Prime factorization of 73302 in exponential form is:

73302 = 2¹ × 3¹ × 19¹ × 643¹

Step-2: Prime Factorization of 73321

Prime factors of 73321 are 17, 19, 227. Prime factorization of 73321 in exponential form is:

73321 = 17¹ × 19¹ × 227¹

Step-3: Factors of 73302

List of positive integer factors of 73302 that divides 73302 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 643, 1286, 1929, 3858, 12217, 24434, 36651

Step-4: Factors of 73321

List of positive integer factors of 73321 that divides 73302 without a remainder.

1, 17, 19, 227, 323, 3859, 4313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73302 and 73321. The biggest common factor number is the GCF number.
So the greatest common factor 73302 and 73321 is 19.

Also check out the Least Common Multiple of 73302 and 73321