What is the Greatest Common Factor of 72341 and 72345?

Greatest common factor (GCF) of 72341 and 72345 is 1.

GCF(72341,72345) = 1

We will now calculate the prime factors of 72341 and 72345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72341 and 72345.

How to find the GCF of 72341 and 72345?

We will first find the prime factorization of 72341 and 72345. After we will calculate the factors of 72341 and 72345 and find the biggest common factor number .

Step-1: Prime Factorization of 72341

Prime factors of 72341 are 72341. Prime factorization of 72341 in exponential form is:

72341 = 72341¹

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 72341

List of positive integer factors of 72341 that divides 72341 without a remainder.

Step-4: Factors of 72345

List of positive integer factors of 72345 that divides 72341 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 72341 and 72345. The biggest common factor number is the GCF number.
So the greatest common factor 72341 and 72345 is 1.

Also check out the Least Common Multiple of 72341 and 72345