What is the Greatest Common Factor of 72459 and 72465?

Greatest common factor (GCF) of 72459 and 72465 is 3.

GCF(72459,72465) = 3

We will now calculate the prime factors of 72459 and 72465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72459 and 72465.

How to find the GCF of 72459 and 72465?

We will first find the prime factorization of 72459 and 72465. After we will calculate the factors of 72459 and 72465 and find the biggest common factor number .

Step-1: Prime Factorization of 72459

Prime factors of 72459 are 3, 83, 97. Prime factorization of 72459 in exponential form is:

72459 = 3² × 83¹ × 97¹

Step-2: Prime Factorization of 72465

Prime factors of 72465 are 3, 5, 4831. Prime factorization of 72465 in exponential form is:

72465 = 3¹ × 5¹ × 4831¹

Step-3: Factors of 72459

List of positive integer factors of 72459 that divides 72459 without a remainder.

1, 3, 9, 83, 97, 249, 291, 747, 873, 8051, 24153

Step-4: Factors of 72465

List of positive integer factors of 72465 that divides 72459 without a remainder.

1, 3, 5, 15, 4831, 14493, 24155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72459 and 72465. The biggest common factor number is the GCF number.
So the greatest common factor 72459 and 72465 is 3.

Also check out the Least Common Multiple of 72459 and 72465