What is the Greatest Common Factor of 72345 and 72349?

Greatest common factor (GCF) of 72345 and 72349 is 1.

GCF(72345,72349) = 1

We will now calculate the prime factors of 72345 and 72349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72345 and 72349.

How to find the GCF of 72345 and 72349?

We will first find the prime factorization of 72345 and 72349. After we will calculate the factors of 72345 and 72349 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72349

Prime factors of 72349 are 71, 1019. Prime factorization of 72349 in exponential form is:

72349 = 71¹ × 1019¹

Step-3: Factors of 72345

List of positive integer factors of 72345 that divides 72345 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

Step-4: Factors of 72349

List of positive integer factors of 72349 that divides 72345 without a remainder.

1, 71, 1019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72345 and 72349. The biggest common factor number is the GCF number.
So the greatest common factor 72345 and 72349 is 1.

Also check out the Least Common Multiple of 72345 and 72349