What is the Greatest Common Factor of 73339 and 73353?

Greatest common factor (GCF) of 73339 and 73353 is 7.

GCF(73339,73353) = 7

We will now calculate the prime factors of 73339 and 73353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73339 and 73353.

How to find the GCF of 73339 and 73353?

We will first find the prime factorization of 73339 and 73353. After we will calculate the factors of 73339 and 73353 and find the biggest common factor number .

Step-1: Prime Factorization of 73339

Prime factors of 73339 are 7, 10477. Prime factorization of 73339 in exponential form is:

73339 = 7¹ × 10477¹

Step-2: 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-3: Factors of 73339

List of positive integer factors of 73339 that divides 73339 without a remainder.

1, 7, 10477

Step-4: Factors of 73353

List of positive integer factors of 73353 that divides 73339 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73339 and 73353. The biggest common factor number is the GCF number.
So the greatest common factor 73339 and 73353 is 7.

Also check out the Least Common Multiple of 73339 and 73353