What is the Greatest Common Factor of 73353 and 73362?

Greatest common factor (GCF) of 73353 and 73362 is 3.

GCF(73353,73362) = 3

We will now calculate the prime factors of 73353 and 73362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73353 and 73362.

How to find the GCF of 73353 and 73362?

We will first find the prime factorization of 73353 and 73362. After we will calculate the factors of 73353 and 73362 and find the biggest common factor number .

Step-1: Prime Factorization of 73353

Prime factors of 73353 are 3, 7, 499. Prime factorization of 73353 in exponential form is:

73353 = 3¹ × 7² × 499¹

Step-2: Prime Factorization of 73362

Prime factors of 73362 are 2, 3, 12227. Prime factorization of 73362 in exponential form is:

73362 = 2¹ × 3¹ × 12227¹

Step-3: Factors of 73353

List of positive integer factors of 73353 that divides 73353 without a remainder.

1, 3, 7, 21, 49, 147, 499, 1497, 3493, 10479, 24451

Step-4: Factors of 73362

List of positive integer factors of 73362 that divides 73353 without a remainder.

1, 2, 3, 6, 12227, 24454, 36681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73353 and 73362. The biggest common factor number is the GCF number.
So the greatest common factor 73353 and 73362 is 3.

Also check out the Least Common Multiple of 73353 and 73362