What is the Greatest Common Factor of 72303 and 72310?

Greatest common factor (GCF) of 72303 and 72310 is 7.

GCF(72303,72310) = 7

We will now calculate the prime factors of 72303 and 72310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72303 and 72310.

How to find the GCF of 72303 and 72310?

We will first find the prime factorization of 72303 and 72310. After we will calculate the factors of 72303 and 72310 and find the biggest common factor number .

Step-1: Prime Factorization of 72303

Prime factors of 72303 are 3, 7, 11, 313. Prime factorization of 72303 in exponential form is:

72303 = 3¹ × 7¹ × 11¹ × 313¹

Step-2: Prime Factorization of 72310

Prime factors of 72310 are 2, 5, 7, 1033. Prime factorization of 72310 in exponential form is:

72310 = 2¹ × 5¹ × 7¹ × 1033¹

Step-3: Factors of 72303

List of positive integer factors of 72303 that divides 72303 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 313, 939, 2191, 3443, 6573, 10329, 24101

Step-4: Factors of 72310

List of positive integer factors of 72310 that divides 72303 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1033, 2066, 5165, 7231, 10330, 14462, 36155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72303 and 72310. The biggest common factor number is the GCF number.
So the greatest common factor 72303 and 72310 is 7.

Also check out the Least Common Multiple of 72303 and 72310