What is the Greatest Common Factor of 72345 and 72354?

Greatest common factor (GCF) of 72345 and 72354 is 3.

GCF(72345,72354) = 3

We will now calculate the prime factors of 72345 and 72354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72345 and 72354.

How to find the GCF of 72345 and 72354?

We will first find the prime factorization of 72345 and 72354. After we will calculate the factors of 72345 and 72354 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 72354

Prime factors of 72354 are 2, 3, 31, 389. Prime factorization of 72354 in exponential form is:

72354 = 2¹ × 3¹ × 31¹ × 389¹

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 72354

List of positive integer factors of 72354 that divides 72345 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 389, 778, 1167, 2334, 12059, 24118, 36177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72345 and 72354. The biggest common factor number is the GCF number.
So the greatest common factor 72345 and 72354 is 3.

Also check out the Least Common Multiple of 72345 and 72354