What is the Greatest Common Factor of 72338 and 72345?

Greatest common factor (GCF) of 72338 and 72345 is 7.

GCF(72338,72345) = 7

We will now calculate the prime factors of 72338 and 72345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72338 and 72345.

How to find the GCF of 72338 and 72345?

We will first find the prime factorization of 72338 and 72345. After we will calculate the factors of 72338 and 72345 and find the biggest common factor number .

Step-1: Prime Factorization of 72338

Prime factors of 72338 are 2, 7, 5167. Prime factorization of 72338 in exponential form is:

72338 = 2¹ × 7¹ × 5167¹

Step-2: Prime Factorization of 72345

Prime factors of 72345 are 3, 5, 7, 13, 53. Prime factorization of 72345 in exponential form is:

72345 = 3¹ × 5¹ × 7¹ × 13¹ × 53¹

Step-3: Factors of 72338

List of positive integer factors of 72338 that divides 72338 without a remainder.

1, 2, 7, 14, 5167, 10334, 36169

Step-4: Factors of 72345

List of positive integer factors of 72345 that divides 72338 without a remainder.

1, 3, 5, 7, 13, 15, 21, 35, 39, 53, 65, 91, 105, 159, 195, 265, 273, 371, 455, 689, 795, 1113, 1365, 1855, 2067, 3445, 4823, 5565, 10335, 14469, 24115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72338 and 72345. The biggest common factor number is the GCF number.
So the greatest common factor 72338 and 72345 is 7.

Also check out the Least Common Multiple of 72338 and 72345