What is the Greatest Common Factor of 73353 and 73373?

Greatest common factor (GCF) of 73353 and 73373 is 1.

GCF(73353,73373) = 1

We will now calculate the prime factors of 73353 and 73373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73353 and 73373.

How to find the GCF of 73353 and 73373?

We will first find the prime factorization of 73353 and 73373. After we will calculate the factors of 73353 and 73373 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 73373

Prime factors of 73373 are 239, 307. Prime factorization of 73373 in exponential form is:

73373 = 239¹ × 307¹

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 73373

List of positive integer factors of 73373 that divides 73353 without a remainder.

1, 239, 307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73353 and 73373. The biggest common factor number is the GCF number.
So the greatest common factor 73353 and 73373 is 1.

Also check out the Least Common Multiple of 73353 and 73373