What is the Greatest Common Factor of 72345 and 72358?

Greatest common factor (GCF) of 72345 and 72358 is 13.

GCF(72345,72358) = 13

We will now calculate the prime factors of 72345 and 72358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72345 and 72358.

How to find the GCF of 72345 and 72358?

We will first find the prime factorization of 72345 and 72358. After we will calculate the factors of 72345 and 72358 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 72358

Prime factors of 72358 are 2, 11, 13, 23. Prime factorization of 72358 in exponential form is:

72358 = 2¹ × 11² × 13¹ × 23¹

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 72358

List of positive integer factors of 72358 that divides 72345 without a remainder.

1, 2, 11, 13, 22, 23, 26, 46, 121, 143, 242, 253, 286, 299, 506, 598, 1573, 2783, 3146, 3289, 5566, 6578, 36179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72345 and 72358. The biggest common factor number is the GCF number.
So the greatest common factor 72345 and 72358 is 13.

Also check out the Least Common Multiple of 72345 and 72358